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35D10 Regularity of generalized solutions (67 articles)

• Leonetti, Francesco; Petricca, Pier Vincenzo: Integrability for solutions to quasilinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 3, pp. 481-487
• Fattorusso, Luisa: A global differentiability result for solutions of nonlinear elliptic problems with controlled growths. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 1, pp. 113-129
• Wolf, Jörg: Interior regularity of weak solutions to the equations of a stationary motion of a non-Newtonian fluid with shear-dependent viscosity. The case $q=\frac{3d}{d+2}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 659-668
• Li, Fengquan: Regularity for entropy solutions of a class of parabolic equations with irregular data. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 1, pp. 69-82
• 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
• Świerczewska, Agnieszka: Regularity and uniqueness for the stationary large eddy simulation model. (English). Applications of Mathematics, vol. 51 (2006), issue 6, pp. 629-641
• Cavalheiro, Albo Carlos: Regularity of weak solutions to certain degenerate elliptic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 4, pp. 681-693
• 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
• Fattorusso, Luisa: Differentiability of weak solutions of nonlinear second order parabolic systems with quadratic growth and nonlinearity $q\ge 2$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 1, pp. 73-90
• Daněček, Josef; Nikodým, Marek: An example of a nonlinear second order elliptic system in three dimension. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 3, pp. 431-442
• Misawa, Masashi: Existence of a classical solution for linear parabolic systems of nondivergence form. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 3, pp. 475-482
• Skalák, Zdeněk: Additional note on partial regularity of weak solutions of the Navier-Stokes equations in the class $L^\infty (0,T,L^3(\Omega )^3)$. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 153-159
• Neustupa, Jiří: The boundary regularity of a weak solution of the Navier-Stokes equation and its connection to the interior regularity of pressure. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 547-558
• Marchi, Silvana: $C^{1,\alpha}$ local regularity for the solutions of the $p$-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}}<p\le2$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 1, pp. 33-56
• Marchi, Silvana: Correction to the paper: $C^{1,\alpha}$ local regularity for the solutions of the p-Laplacian on the Heisenberg group. The case $1+\frac{1}{\sqrt{5}} <p\le 2$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 2, pp. 387-388
• Skalák, Zdeněk; Kučera, Petr: Regularity of pressure in the neighbourhood of regular points of weak solutions of the Navier-Stokes equations. (English). Applications of Mathematics, vol. 48 (2003), issue 6, pp. 573-586
• Di Fazio, Giuseppe; Fanciullo, Maria Stella: Gradient estimates for elliptic systems in Carnot-Carathéodory spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 605-618
• Capone, Claudia: Quasiharmonic fields and Beltrami operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 363-377
• Neustupa, Jiří; Pokorný, Milan: Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 469-481
• Skalák, Zdeněk; Kučera, Petr: Remark on regularity of weak solutions to the Navier-Stokes equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 1, pp. 111-117
• Naumann, J.; Wolf, J.; Wolff, M.: On the Hölder continuity of weak solutions to nonlinear parabolic systems in two space dimensions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 2, pp. 237-255
• Kaplický, Petr; Málek, Josef; Stará, Jana: Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 4, pp. 681-695
• Bensoussan, A.; Frehse, J.: Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and $H^{1}$ regularity. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 285-304
• Viszus, Eugen: A note on regular points for solutions of parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 557-563
• Daněček, Josef: On $\Cal L_{loc}^{2,n}$-regularity for the gradient of a weak solution to nonlinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 3, pp. 523-536
• Hao, Wenge; Leonardi, Salvatore; Steinhauer, Mark: Examples of discontinuous, divergence-free solutions to elliptic variational problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 511-517
• Stará, Jana; John, Oldřich: Some (new) counterexamples of parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 503-510
• Ježková, Jana: Boundedness and pointwise differentiability of weak solutions to quasi-linear elliptic differential equations and variational inequalities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 1, pp. 63-80
• Kalita, E.: On the Hölder continuity of solutions of nonlinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 675-680
• Ivanov, Alexander V.: Regularity for doubly nonlinear parabolic equations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 117-124
• Balanda, Lubomír; Viszus, Eugen: On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order. (English). Mathematica Bohemica, vol. 117 (1992), issue 4, pp. 373-392
• Leonetti, Francesco: An integral estimate for weak solutions to some quasilinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 1, pp. 39-43
• Balanda, L.; Viszus, E.: On Liouville theorem and the regularity of weak solutions to some nonlinear elliptic systems of higher order. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 4, pp. 615-625
• Bensoussan, Alain; Frehse, Jens: $C^\alpha$-regularity results for quasilinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 3, pp. 453-474
• Viszus, Eugen: On the regularity up to the boundary for higher order quasilinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 295-306
• John, Oldřich; Malý, Jan; Stará, Jana: Nowhere continuous solutions to elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 1, pp. 33-43
• Fuchs, Martin: On minimizers with prescribed divergence. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 497-503
• Quittner, Pavol: On positive solutions of semilinear elliptic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 579-585
• John, O.; Stará, J.: On the regularity and non-regularity of elliptic and parabolic systems. (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. 28-36
• Malý, Jan: Nonisolated singularities of solutions to a quasilinear elliptic system. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 3, pp. 421-426
• Fuchs, Martin: Everywhere regularity theorems for mappings which minimize $p$-energy. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 4, pp. 673-677
• Stará, Jana; Daněček, Josef; John, Oldřich: Liouville type condition and the interior regularity of quasilinear parabolic system (the case of BMO-solutions). (English). Commentationes Mathematicae Universitatis Carolinae, vol. 28 (1987), issue 1, pp. 103-109
• Stará, Jana; John, Oldřich; Malý, Jan: Counterexample to the regularity of weak solution of the quasilinear parabolic system. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 123-136
• Simader, Christian G.: Higher regularity of weak solutions of strongly nonlinear elliptic equations. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [243]-246
• Struwe, Michael: Some regularity results for quasi-linear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 129-150
• Stará, Jana; John, Oldřich: Some regularity results for quasilinear parabolic systems. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [247]-250
• 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
• John, Oldřich; Stará, Jana: On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 3, pp. 445-457
• Souček, Jiří: Singular solutions to linear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 25 (1984), issue 2, pp. 273-281
• 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
• John, Oldřich: The interior regularity and the Liouville property for the quasilinear parabolic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 4, pp. 685-690
• Lions, Pierre-Louis; Nečas, Jindřich; Netuka, Ivan: A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 4, pp. 645-655
• Giaquinta, Mariano: On differentiability of the extremals of variational integrals. (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. 38-92
• 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
• Neustupa, Jiří: The dimension of a set of singularities of weak solutions to the Navier-Stokes equations. (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. 276-279
• Nečas, Jindřich; John, Oldřich; Stará, Jana: Counterexample to the regularity of weak solution of elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 1, pp. 145-154
• Kawohl, Bernhard: On Liouville theorems, continuity and Hölder continuity of weak solutions to some quasilinear elliptic systems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 4, pp. 679-697
• 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
• 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
• Rabinowitz, Paul H.: A priori bounds for a semilinear wave equation. (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. [340]-347
• Krbec, Miroslav: On $L^p$-estimates for solutions of elliptic boundary value problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 17 (1976), issue 2, pp. 363-375
• Müller, Manfred; Nečas, Jindřich: Über die Regularität der schwachen Lösungen von Randwertaufgaben für quasilineare elliptische Differentialgleichungen höherer Ordnung. (German) [On regularity of weak solutions to boundary value problems for quasilinear elliptic differential equations of higher order]. Czechoslovak Mathematical Journal, vol. 25 (1975), issue 2, pp. 227-239
• Fučík, Svatopluk; John, Oldřich; Nečas, Jindřich: On the existence of Schauder bases in Sobolev spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 1, pp. 163-175
• Král, Josef: Regularity of potentials and removability of singularities of solutions of partial differential equations. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 179-185