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35J70 Elliptic partial differential equations of degenerate type (57 articles)

• Kim, Sungchol; Ri, Dukman: Existence of weak solutions for elliptic Dirichlet problems with variable exponent. (English). Mathematica Bohemica, vol. 148 (2023), issue 3, pp. 283-302
• Echarroudi, Younes: Null controllability of a coupled model in population dynamics. (English). Mathematica Bohemica, vol. 148 (2023), issue 3, pp. 349-408
• Dammak, Makkia; Amor Ben Ali, Abir; Taarabti, Said: Positive solutions for concave-convex elliptic problems involving $p(x)$-Laplacian. (English). Mathematica Bohemica, vol. 147 (2022), issue 2, pp. 155-168
• Luyen, Duong Trong: Nontrivial solutions to boundary value problems for semilinear $\Delta _\gamma $-differential equations. (English). Applications of Mathematics, vol. 66 (2021), issue 4, pp. 461-478
• Hoeltgen, Laurent; Kleefeld, Andreas; Harris, Isaac; Breuss, Michael: Theoretical foundation of the weighted Laplace inpainting problem. (English). Applications of Mathematics, vol. 64 (2019), issue 3, pp. 281-300
• Cavalheiro, Albo Carlos: An existence and approximation theorem for solutions of degenerate quasilinear elliptic equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 1, pp. 65-80
• Bonafede, Salvatore: Hölder continuity of bounded generalized solutions for some degenerated quasilinear elliptic equations with natural growth terms. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 1, pp. 45-64
• Cavalheiro, Albo Carlos: An approximation theorem for solutions of degenerate semilinear elliptic equations. (English). Communications in Mathematics, vol. 25 (2017), issue 1, pp. 21-34
• Cavalheiro, Albo Carlos: Existence of solutions for Navier problems with degenerate nonlinear elliptic equations. (English). Communications in Mathematics, vol. 23 (2015), issue 1, pp. 33-45
• Cavalheiro, Albo Carlos: Existence and uniqueness of solutions for some degenerate nonlinear elliptic equations. (English). Archivum Mathematicum, vol. 50 (2014), issue 1, pp. 51-63
• Cavalheiro, Albo Carlos: Existence of entropy solutions for degenerate quasilinear elliptic equations in $L^1$. (English). Communications in Mathematics, vol. 22 (2014), issue 1, pp. 57-69
• Jaroš, Jaroslav: Picone's identity for a Finsler $p$-Laplacian and comparison of nonlinear elliptic equations. (English). Mathematica Bohemica, vol. 139 (2014), issue 3, pp. 535-552
• 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
• Catrina, Florin: A refinement of the radial Pohozaev identity. (English). Mathematica Bohemica, vol. 135 (2010), issue 2, pp. 143-150
• Mingione, Giuseppe: Sketches of nonlinear Calderón-Zygmund theory. (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. 105-144
• 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
• Björn, Anders; Björn, Jana: Approximations by regular sets and Wiener solutions in metric spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 2, pp. 343-355
• Li, Fengquan: Nonlinear degenerate elliptic equations with measure data. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 4, pp. 647-658
• Cavalheiro, Albo Carlos: The Neumann problem for some degenerate elliptic equations. (English). Applications of Mathematics, vol. 51 (2006), issue 6, pp. 619-628
• Mingione, Giuseppe: Regularity of minima: an invitation to the Dark Side of the Calculus of Variations. (English). Applications of Mathematics, vol. 51 (2006), issue 4, pp. 355-426
• 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
• Kawohl, B.: Overdetermined problems and the $p$-Laplacian. (English). In: Fila, Marek, Mikula, K. and Quittner, Pavol (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 1] Contributions of plenary speakers and minisymposia organizers. Comenius University Press, Bratislava, 2007. pp. 77-83
• 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
• Bonafede, Salvatore: Existence results for a class of semilinear degenerate elliptic equations. (English). Mathematica Bohemica, vol. 128 (2003), issue 2, pp. 187-198
• Hakobyan, G. O.; Margaryan, V. N.: Gevrey hypoellipticity for a class of degenerated quasi-elliptic operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 637-644
• Kawohl, B.; Fridman, V.: Isoperimetric estimates for the first eigenvalue of the $p$-Laplace operator and the Cheeger constant. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 659-667
• Kandilakis, Dimitrios A.; Lyberopoulos, Athanasios N.: Multiplicity of positive solutions for some quasilinear Dirichlet problems on bounded domains in $\Bbb R^n$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 4, pp. 645-658
• Kilpeläinen, Tero: Problems involving $p$-Laplacian type equations and measures. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 243-250
• González Montesinos, María Teresa; Francisco, Ortegón Gallego: A doubly degenerate elliptic system. (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. 169-176
• d'Avenia, Pietro; Pisani, Lorenzo: Infinitely many solitary waves in three space dimensions. (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. 119-127
• Kilpeläinen, Tero: Problems involving $p$-Laplacian type equations and measures. (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. 113-120
• Buckley, Stephen M.; Koskela, Pekka: On the fusion problem for degenerate elliptic equations II. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 1, pp. 1-6
• 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
• Binding, Paul A.; Drábek, Pavel; Huang, Yin Xi: Positive solutions of critical quasilinear elliptic equations in $R \sp N$. (English). Mathematica Bohemica, vol. 124 (1999), issue 2, pp. 149-166
• Tadie: Decaying positive solutions of some quasilinear differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 39 (1998), issue 1, pp. 39-47
• Tadie: Elliptic equations with decreasing nonlinearity I: barrier method for decreasing solutions. (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. 269-273
• Tadie: Elliptic equations with decreasing nonlinearity II: radial solutions for singular 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. 275-279
• Drábek, Pavel; Moudan, Zakaria; Touzani, Abdelfettah: Nonlinear homogeneous eigenvalue problem in $R^N$: nonstandard variational approach. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 3, pp. 421-431
• Cheng, Yuanji: On positive solutions of quasilinear elliptic systems. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 4, pp. 681-687
• 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
• Bonafede, Salvatore: A weak maximum principle and estimates of ${\rm ess}\sup\sb \Omega u$ for nonlinear degenerate elliptic equations. (English). Czechoslovak Mathematical Journal, vol. 46 (1996), issue 2, pp. 259-269
• Huang, Yin Xi: Eigenvalues of the $p$-Laplacian in ${\boldkey R}^N$ with indefinite weight. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 3, pp. 519-527
• Drábek, Pavel: The least eigenvalues of nonhomogeneous degenerated quasilinear eigenvalue problems. (English). Mathematica Bohemica, vol. 120 (1995), issue 2, pp. 169-195
• Drábek, Pavel; Kufner, Alois: Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 2 (1994), issue 1, pp. 19-31
• Kufner, Alois; Leonardi, Salvatore: Solvability of degenerate elliptic boundary value problems: another approach. (English). Mathematica Bohemica, vol. 119 (1994), issue 3, pp. 255-274
• Bonafede, Salvatore: Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 1, pp. 55-61
• 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
• Warnecke, Gerald: The homogeneous Dirichlet problem for non-elliptic partial differential equations with strong nonlinearities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 327-346
• 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
• Drábek, P.: Solvability and bifurcations of some strongly nonlinear equations. (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. 155-158
• 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
• Kufner, Alois; Opic, Bohumír: The Dirichlet problem and weighted spaces. II. (English). Časopis pro pěstování matematiky, vol. 111 (1986), issue 3, pp. 242-253
• Triebel, H.: Mapping properties of regular and strongly degenerate elliptic differential operators in the Besov spaces $B^s_{p,p}(\Omega)$. The case $0<p<\infty$. (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. [424]-432
• 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
• Nikolskij, S.: Some boundary problems for the equations with strong degeneration. (English). In: Šeda, Valter (ed.): Differential Equations and Their Applications. Proceedings of the Conference held in Bratislava in September 1966. Slovenské pedagogické nakladateľstvo, Bratislava, 1967. pp. 121-127