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35B45 A priori estimates (79 articles)

• Zhao, Xiangdong: Global solvability in the parabolic-elliptic chemotaxis system with singular sensitivity and logistic source. (English). Czechoslovak Mathematical Journal, vol. 74 (2024), issue 1, pp. 127-151
• Bae, Soohyun: A priori bounds for positive radial solutions of quasilinear equations of Lane–Emden type. (English). Archivum Mathematicum, vol. 59 (2023), issue 2, pp. 155-162
• Tami, Abdelkader; Tlemcani, Mounir: $H^2$ convergence of solutions of a biharmonic problem on a truncated convex sector near the angle $\pi $. (English). Applications of Mathematics, vol. 66 (2021), issue 3, pp. 383-395
• Boughammoura, Ahmed; Braham, Yousra: Homogenization of a three-phase composites of double-porosity type. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 45-73
• Tami, Abdelkader: The elliptic problems in a family of planar open sets. (English). Applications of Mathematics, vol. 64 (2019), issue 5, pp. 485-499
• Dall'Aglio, Andrea; Segura de León, Sergio: Regularity of renormalized solutions to nonlinear elliptic equations away from the support of measure data. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 2, pp. 379-390
• Fujie, Kentarou; Senba, Takasi: A generalization of the Keller-Segel system to higher dimensions from a structural viewpoint. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 275-282
• Stašová, Olga; Mikula, Karol; Handlovičová, Angela; Peyriéras, Nadine: Nonlinear Tensor Diffusion in Image Processing. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 377-386
• Senba, Takasi; Fujie, Kentarou: On behavior of solutions to a chemotaxis system with a nonlinear sensitivity function. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 45-52
• Makki, Ahmad: On the viscous Allen-Cahn and Cahn-Hilliard systems with Willmore regularization. (English). Applications of Mathematics, vol. 61 (2016), issue 6, pp. 685-725
• Daikh, Y.; Chikouche, W.: Spectral element discretization of the heat equation with variable diffusion coefficient. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 2, pp. 185-200
• Monsurrò, Sara; Transirico, Maria: On some $L^{p}$-estimates for solutions of elliptic equations in unbounded domains. (English). Mathematica Bohemica, vol. 140 (2015), issue 4, pp. 507-515
• Fujie, Kentarou; Yokota, Tomomi: Boundedness of solutions to parabolic-elliptic chemotaxis-growth systems with signal-dependent sensitivity. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 639-647
• Graf, Isabell; Peter, Malte A.: Homogenization of a carcinogenesis model with different scalings with the homogenization parameter. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 163-184
• Savostianov, Anton; Zelik, Sergey: Recent progress in attractors for quintic wave equations. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 657-665
• Hou, Pulun; Chen, Caisheng: $L^\infty$ estimates of solution for $m$-Laplacian parabolic equation with a nonlocal term. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 2, pp. 389-400
• Földes, Juraj: Liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite superlinear parabolic problems. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 169-198
• Drábek, Pavel: Recent results on quasilinear differential equations. I. (English). In: Rákosník, Jiří (ed.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the International School held in Třešť, September 11-17, 2010. Vol. 9. Institute of Mathematics AS CR, Praha, 2011. pp. 1-29
• Rocca, Elisabetta; Rossi, Riccarda: Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. (English). Applications of Mathematics, vol. 53 (2008), issue 5, pp. 485-520
• Kmit, I.: Linear hyperbolic problems in the whole scale of Sobolev-type spaces of periodic functions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 631-645
• Drblíková, Olga: Uniform a priori estimates for discrete solution of nonlinear tensor diffusion equation in image processing. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 777-788
• Medková, Dagmar: Boundedness of the solution of the third problem for the Laplace equation. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 2, pp. 317-340
• 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
• Rocca, Elisabetta: Well-posedness and regularity for a parabolic-hyperbolic Penrose-Fife phase field system. (English). Applications of Mathematics, vol. 50 (2005), issue 5, pp. 415-450
• 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
• Quittner, Pavol: A priori bounds for solutions of parabolic problems and applications. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 329-341
• Capone, Claudia: Quasiharmonic fields and Beltrami operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 363-377
• Leonardi, S.: Weighted Miranda-Talenti inequality and applications to equations with discontinuous coefficients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 1, pp. 43-59
• Rebiai, Salah-Eddine: Boundary stabilization of the Schrödinger equation in almost star-shaped domain. (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. 349-356
• Kahane, Charles S.: A gradient estimate for solutions of the heat equation. II. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 39-44
• Solonnikov, V. A.: Initial-boundary value problem for generalized Stokes equations. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 505-519
• Nazarov, Alexander I.: $L_p$-estimates for solutions of Dirichlet and Neumann problems to heat equation in the wedge with edge of arbitrary codimension. (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. 323-325
• Miyakawa, Tetsuro; Schonbek, Maria Elena: On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 443-455
• Ragusa, Maria Alessandra; Zamboni, Pietro: A potential theoretic inequality. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 55-65
• Quittner, Pavol: A priori bounds for solutions of parabolic problems and applications. (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. 185-196
• Quittner, Pavol: A priori estimates of solutions of superlinear problems. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 483-492
• 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
• Apushkinskaya, D. E.; Nazarov, A. I.: A survey of results on nonlinear Venttsel problems. (English). Applications of Mathematics, vol. 45 (2000), issue 1, pp. 69-80
• Skrypnik, Igor V.; Larin, Dmitry V.: On weighted estimates of solutions of nonlinear elliptic problems. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 173-184
• Brown, R. C.; Hinton, D. B.: Two separation criteria for second order ordinary or partial differential operators. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 273-292
• Kahane, Charles S.: A gradient estimate for solutions of the heat equation. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 711-725
• Cianchi, Andrea: Some results in the theory of Orlicz spaces and applications to variational problems. (English). In: Krbec, Miroslav and Kufner, Alois (eds.): Nonlinear Analysis, Function Spaces and Applications, Proceedings of the Spring School held in Prague, May 31-June 6, 1998. Vol. 6. Czech Academy of Sciences, Mathematical Institute, Praha, 1999. pp. 50-92
• Liang, Xiting,; Zaide, Wu: The a priori estimate of the maximum modulus to solutions of doubly nonlinear parabolic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 109-119
• Furusho, Yasuhiro; Kusano, Takaŝi: A supersolution-subsolution method for nonlinear biharmonic equations in $\mathbb{R}^N$. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 749-768
• 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
• Barnovská, Mária; Govorov, V. M.: Интегральная оценка обобщенного из класса $L\sb 2$ решения первой краевой задачи для уравнения теплопроводности. (Russian) [Integral estimation of a generalized $L\sb 2$-solution of the first boundary value problem for a heat equation]. Mathematica Slovaca, vol. 46 (1996), issue 2, pp. 231-238
• Huang, Yin Xi: Decaying positive entire solutions of the $p$-Laplacian. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 2, pp. 205-220
• Drábek, Pavel: The least eigenvalues of nonhomogeneous degenerated quasilinear eigenvalue problems. (English). Mathematica Bohemica, vol. 120 (1995), issue 2, pp. 169-195
• Oswald, P.: On the boundedness of the mapping $f\to |f|$ in Besov spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 1, pp. 57-66
• Amato, Roberto: A fundamental estimate and an inequality of Caccioppoli's type for nonlinear parabolic systems of higher order. (English). Czechoslovak Mathematical Journal, vol. 41 (1991), issue 3, pp. 422-428
• 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
• Nečas, Jindřich; Roubíček, Tomáš: Approximation of a nonlinear thermoelastic problem with a moving boundary via a fixed-domain method. (English). Aplikace matematiky, vol. 35 (1990), issue 5, pp. 361-372
• Feireisl, Eduard: Forced vibrations in one-dimensional nonlinear thermoelasticity as a local coercive-like problem. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 31 (1990), issue 2, pp. 243-255
• 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
• Feireisl, Eduard: Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 184-191
• Canfora, Albino: Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 3, pp. 385-422
• Quittner, Pavol: On positive solutions of semilinear elliptic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 579-585
• Kopáčková, Marie: Remarks on bounded solutions of a semilinear dissipative hyperbolic equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 713-719
• Řeháček, Jan: On periodic solutions of a special type of the beam equation. (English). Aplikace matematiky, vol. 33 (1988), issue 1, pp. 33-40
• 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
• Oswald, P.: On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 3, pp. 565-577
• Godunov, S. K.: Интегралы энергии уравнений гиперболических по Петровскому. (Russian) [Energy integrals of equations that are hyperbolic in the sense of Petrovskij]. Commentationes Mathematicae Universitatis Carolinae, vol. 26 (1985), issue 1, pp. 41-74
• Malý, Jan: Positive quasi-minima. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 4, pp. 681-691
• John, Oldřich; Nečas, Jindřich: On the regularity for 2nd order nonlinear elliptic systems. (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. 165-168
• Roos, Hans-Georg: Ein singulär gestörtes Problem für eine lineare parabolische Differentialgleichung beliebiger Ordnung. (German) [A singular perturbed problem for a linear parabolic differential equation of arbitary order]. Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 1, pp. 13-25
• Radochová, Věra: Differential inequalities for a nonlinear partial differential equation of the fourth order. (English). Czechoslovak Mathematical Journal, vol. 27 (1977), issue 1, pp. 7-13
• Oleinik, O. A.: Energetic estimates analogous to the Saint-Venant principle and their applications. (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. [328]-339
• Nohel, J. A.: A forced quasilinear wave equation with dissipation. (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. [318]-327
• Hess, P.: Multiple solutions of some asymptotically linear elliptic 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. [145]-151
• 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
• Haslinger, Jaroslav; Hlaváček, Ivan: Convergence of a finite element method based on the dual variational formulation. (English). Aplikace matematiky, vol. 21 (1976), issue 1, pp. 43-65
• Vacek, Jiří: Dual variational principles for an elliptic partial differential equation. (English). Aplikace matematiky, vol. 21 (1976), issue 1, pp. 5-27
• Hlaváček, Ivan; Naumann, Joachim: Inhomogeneous boundary value problems for the von Kármán equations. II. (English). Aplikace matematiky, vol. 20 (1975), issue 4, pp. 280-297
• 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
• Rektorys, Karel; Zahradník, Václav: Solution of the first biharmonic problem by the method of least squares on the boundary. (English). Aplikace matematiky, vol. 19 (1974), issue 2, pp. 101-131
• Hlaváček, Ivan: On a conjugate semi-variational method for parabolic equations. (English). Aplikace matematiky, vol. 18 (1973), issue 6, pp. 434-444
• Oğuztöreli, Mehmet Namik; Mangeron, Démètre J.; Easwaran, S.: Systèmes mathématiques aux structures entremelées. Problèmes aux limites pour certains systèmes différentiels aux différences, ordinaires ou aux dérivées totales au sens de M. M. Picone. (French) [Mathematical systems of mixed structures. Boundary value problems for certain ordinary or partial differential and difference systems in the sense of M. M. Picone]. Archivum Mathematicum, vol. 8 (1972), issue 3, pp. 131-136
• Maz'ya, V. G.: Приложения некоторых интегральных неравенств к теории квазилинейных эллиптических уравнений. (Russian) [Applications of certain integral inequalities to the theory of quasilinear elliptic equations]. Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 3, pp. 535-552