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35D05 Existence of generalized solutions (89 articles)

• Afrouzi, Ghasem A.; Shokooh, Shaeid; Chung, Nguyen T.: Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 60 (2019), issue 3, pp. 361-378
• Devadze, David: The Existence of a Generalized Solution of an $m$-Point Nonlocal Boundary Value Problem. (English). Communications in Mathematics, vol. 25 (2017), issue 2, pp. 159-169
• Druet, Pierre-Etienne: Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and arbitrary $p$-summable right-hand side. (English). Applications of Mathematics, vol. 55 (2010), issue 2, pp. 111-149
• Tersenov, Aris S.: Viscosity subsolutions and supersolutions for non-uniformly and degenerate elliptic equations. (English). Archivum Mathematicum, vol. 45 (2009), issue 1, pp. 19-35
• Mihăilescu, Mihai: On a class of nonlinear problems involving a $p(x)$-Laplace type operator. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 155-172
• Frehse, Jens; Weigant, Wladimir: On quasi-stationary models of mixtures of compressible fluids. (English). Applications of Mathematics, vol. 53 (2008), issue 4, pp. 319-345
• Topolski, Krzysztof A.: On the vanishing viscosity method for first order differential-functional IBVP. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 927-947
• Březina, J.; Novotný, A.: On weak solutions of steady Navier-Stokes equations for monatomic gas. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 49 (2008), issue 4, pp. 611-632
• Ito, Akio; Kenmochi, Nobuyuki; Yamazaki, Noriaki: A phase-field model of grain boundary motion. (English). Applications of Mathematics, vol. 53 (2008), issue 5, pp. 433-454
• Kamo, Ken-ichi; Usami, Hiroyuki: Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1153-1165
• Medková, Dagmar: The Neumann problem for the Laplace equation on general domains. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 4, pp. 1107-1139
• Kandilakis, D. A.; Magiropoulos, M.: A $p$-Laplacian system with resonance and nonlinear boundary conditions on an unbounded domain. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 59-68
• Huy, Nguyen Duc; Stará, Jana: On existence and regularity of solutions to a class of generalized stationary Stokes problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 2, pp. 241-264
• Zhang, Ping: Weak solutions to a nonlinear variational wave equation and some related problems. (English). Applications of Mathematics, vol. 51 (2006), issue 4, pp. 427-466
• Poulou, M. N.; Stavrakakis, N. M.: Eigenvalue questions on some quasilinear elliptic problems. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 457-460
• Gilardi, Gianni; Marson, Andrea: On a conserved Penrose-Fife type system. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 465-499
• Novo, Sébastien; Novotný, Antonín: A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid. (English). Applications of Mathematics, vol. 50 (2005), issue 4, pp. 331-339
• Frehse, Jens; Goj, Sonja; Málek, Josef: A uniqueness result for a model for mixtures in the absence of external forces and interaction momentum. (English). Applications of Mathematics, vol. 50 (2005), issue 6, pp. 527-541
• Guillén-González, F.: Density-dependent incompressible fluids with non-Newtonian viscosity. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 3, pp. 637-656
• Djellit, Ali; Tas, Saadia: Study of some noncooperative linear elliptic systems. (English). Applications of Mathematics, vol. 49 (2004), issue 3, pp. 185-199
• Colombo, Rinaldo M.: Wave front tracking in systems of conservation laws. (English). Applications of Mathematics, vol. 49 (2004), issue 6, pp. 501-537
• Bonafede, Salvatore: Existence results for a class of semilinear degenerate elliptic equations. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 187-198
• Feistauer, Miloslav; Najzar, Karel; Švadlenka, Karel: On a parabolic problem with nonlinear Newton boundary conditions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 3, pp. 429-455
• Park, Jong Yeoul; Bae, Jeong Ja: On the existence of solutions for some nondegenerate nonlinear wave equations of Kirchhoff type. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 781-795
• Feireisl, Eduard: Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 203-209
• Borevich, E. Z.; Chistyakov, V. M.: Nonlinear boundary value problems describing mobile carrier transport in semiconductor devices. (English). Applications of Mathematics, vol. 46 (2001), issue 5, pp. 383-400
• Luckhaus, Stephan; Málek, Josef: On an evolutionary nonlinear fluid model in the limiting case. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 421-428
• Simon, László; Stoyan, Gisbert: On the existence of a generalized solution to a three-dimensional elliptic equation with radiation boundary condition. (English). Applications of Mathematics, vol. 46 (2001), issue 4, pp. 241-250
• Apushkinskaya, Darya E.; Nazarov, Alexander I.: Quasilinear elliptic Dirichlet problem in nonregular domains. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 13-15
• Feireisl, Eduard: Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 57-64
• Arkhipova, A.: Cauchy-Neumann problem for a class of nondiagonal parabolic systems with quadratic growth nonlinearities I. On the continuability of smooth solutions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 693-718
• Liu, Xiaochun; Yang, Jianfu: Multiple solutions of a Schrödinger type semilinear equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 4, pp. 735-745
• Carozza, Menita; Passarelli di Napoli, Antonia: On very weak solutions of a class of nonlinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 3, pp. 493-508
• Cardinali, Tiziana; Papageorgiou, Nikolaos S.: Periodic problems and problems with discontinuities for nonlinear parabolic equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 467-497
• Człapiński, Tomasz: On the mixed problem for hyperbolic partial differential-functional equations of the first order. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 791-809
• Guowang, Chen: Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 1, pp. 15-38
• Dacorogna, Bernard: A new approach to the existence of almost everywhere solutions of nonlinear PDEs. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 23-29
• Hayashi, Nakao; Hirata, Hitoshi: The existence of global solutions to the elliptic-hyperbolic Davey-Stewartson system with small initial data. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 131-136
• Kandilakis, Dimitrios A.: Pseudomonotonicity and nonlinear hyperbolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 463-469
• Mandai, Takeshi: Structure of distribution null-solutions to Fuchsian partial differential equations. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 211-221
• Malý, Jan: Pointwise estimates of nonnegative subsolutions of quasilinear elliptic equations at irregular boundary points. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 1, pp. 23-42
• Horák, Jiří V.: On solvability of one special problem of coupled thermoelasticity. I. Classical boundary conditions and steady sources. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 34 (1995), issue 1, pp. 39-58
• Roubíček, Tomáš: Relaxation of vectorial variational problems. (English). Mathematica Bohemica, vol. 120 (1995), issue 4, pp. 411-430
• Kufner, Alois; Leonardi, Salvatore: Solvability of degenerate elliptic boundary value problems: another approach. (English). Mathematica Bohemica, vol. 119 (1994), issue 3, pp. 255-274
• Matušů-Nečasová, Šárka: Global solution of viscous compressible barotropic multipolar gas in a finite channel with nonzero input and output. (English). Applications of Mathematics, vol. 37 (1992), issue 3, pp. 161-171
• Człapiński, Tomasz: On the existence of generalized solutions of nonlinear first order partial differential-functional equations in two independent variables. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 3, pp. 490-506
• Cibula, Július: Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain. (English). Applications of Mathematics, vol. 36 (1991), issue 5, pp. 368-379
• Kameń, Vladimír B.: Wave equation with a concentrated moving source. (English). Applications of Mathematics, vol. 36 (1991), issue 3, pp. 181-186
• Chabrowski, Jan H.; König, Manfred: On entire solutions of elliptic equations with a singular nonlinearity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 4, pp. 643-654
• Simader, Christian G.: The weak Dirichlet and Neumann problem for the Laplacian in $L^q$ for bounded and exterior domains. Applications. (English). In: Krbec, Miroslav, Kufner, Alois, Opic, Bohumír and Rákosník, Jiří (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Roudnice nad Labem, 1990. Vol. 4. B. G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 180-223
• Boccardo, Lucio; Drábek, Pavel; Kučera, Milan: Landesman-Lazer conditions for strongly nonlinear boundary value problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 411-427
• Feistauer, Miloslav; Kalis, Harijs; Rokyta, Mirko: Mathematical modelling of an electrolysis process. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 465-477
• Tesei, A.; Natalini, R.: On a class of scalar conservation laws with locally unbounded solutions. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 204-207
• Kačur, J.: Solution of nonlinear degenerate elliptic-parabolic systems in Orlicz-Sobolev spaces. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 175-179
• Neustupa, Jiří: Global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. (English). Aplikace matematiky, vol. 33 (1988), issue 5, pp. 389-409
• Chabrowski, Jan H.: On the Dirichlet problem for a degenerate elliptic equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 141-155
• Daněček, Josef: Regularity for nonlinear elliptic systems of second order. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 4, pp. 755-764
• Gröger, Konrad: Initial-boundary value problems describing mobile carrier transport in semiconductor devices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 75-89
• Voldřich, Josef: A remark on the solvability of the Dirichlet problem in Sobolev spaces with power-type weights. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 4, pp. 745-748
• Cibula, Július: Équations de von Kármán. II. Approximation de la solution. (French) [Von Kármán equations. II. Approximation of the solution]. Aplikace matematiky, vol. 30 (1985), issue 1, pp. 1-10
• Tran, Dien Hien: The Dirichlet problem in the dispersion of gas exhalations over a wet hilly surface. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 3, pp. 459-471
• Lauerová, Dana: The existence of a periodic solution of a parabolic equation with the Bessel operator. (English). Aplikace matematiky, vol. 29 (1984), issue 1, pp. 40-44
• Kufner, Alois; Rákosník, Jiří: Linear elliptic boundary value problems and weighted Sobolev spaces: a modified approach. (English). Mathematica Slovaca, vol. 34 (1984), issue 2, pp. 185-197
• Lions, Pierre-Louis: Fully nonlinear elliptic equations and applications. (English). In: John, Oldřich and Kufner, Alois (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Písek, 1982. Vol. 2. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 126-149
• Kufner, Alois; Rákosník, Jiří: Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces. (English). Časopis pro pěstování matematiky, vol. 106 (1981), issue 2, pp. 170-185
• Kružhkov, Stanislav N.: Cauchy's problem in the large for nonlinear hyperbolic equations and for the Korteweg-de Vries equation. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 205-208
• Novikov, V. A.; Lar'kin, Nikolai A.; Yanenko, N. N.: О некоторых новых классах уравнений математической физики. (Russian) [On some new classes of equations of mathematical physics]. In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 159-164
• Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří: Functionals with linear growth in the calculus of variations. I. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 143-156
• Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří: Functionals with linear growth in the calculus of variations. II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 157-172
• Giaquinta, Mariano; Nečas, Jindřich: On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 111-121
• Souček, Jiří; Souček, Vladimír; Stará, Jana: O 19. a 20. Hilbertově problému. (Czech) [On the 19th and 20th Hilbert's problem]. Pokroky matematiky, fyziky a astronomie, vol. 22 (1977), issue 3, pp. 139-150
• Hansen, W.: The Dirichlet problem. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [139]-144
• Fučík, Svatopluk; Mawhin, Jean: Generalized periodic solutions of nonlinear telegraph equations (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 813-816
• Fučík, S.: Nonlinear noncoercive boundary value problems. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [99]-109
• Kačur, J.: Nonlinear parabolic boundary value problems with the time derivative in the boundary conditions. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [170]-178
• Gajewski, Herbert: On iterative solution of nonlinear heat-conduction and diffusion problems. (English). Aplikace matematiky, vol. 22 (1977), issue 2, pp. 77-91
• Nečas, J.: On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [286]-299
• Kufner, A.: Some modifications of Sobolev spaces and non-linear boundary value problems. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [213]-223
• Lukeš, Jaroslav; Zajíček, Luděk: When finely continuous functions are of the first class of Baire. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 18 (1977), issue 4, pp. 647-657
• Hetzer, Georg: On the existence of weak solutions for some quasilinear elliptic variational boundary value problems at resonance. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 2, pp. 315-334
• John, Oldřich; Nečas, Jindřich: On the solvability of von Kármán equations. (English). Aplikace matematiky, vol. 20 (1975), issue 1, pp. 48-62
• Naumann, Joachim: An existence theorem for the v. Kármán equations under the condition of free boundary. (English). Aplikace matematiky, vol. 19 (1974), issue 1, pp. 17-27
• Petry, Walter: Nonlinear eigenvalue problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 14 (1973), issue 1, pp. 113-126
• Dont, M.: Sets of removable singularities of an equation. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 14 (1973), issue 2, pp. 23-30
• Kačur, Jozef: On existence of the weak solution for non-linear partial differential equations of elliptic type. II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 2, pp. 211-225
• Nečas, Jindřich: Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 1, pp. 109-120
• Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír: Strengthening upper bound for the number of critical levels of nonlinear functionals. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 2, pp. 297-310
• Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír: Upper bound for the number of eigenvalues for nonlinear operators (Preliminary communication). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 1, pp. 191-195
• Souček, Vladimír: The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 4, pp. 723-736