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35J20 Variational methods for second-order, elliptic equations (74 articles)

• Feng, Zesheng; Zhang, Aiping; Gao, Hongya: Local boundedness for minimizers of variational integrals under anisotropic nonstandard growth conditions. (English). Czechoslovak Mathematical Journal, vol. 74 (2024), issue 4, pp. 1165-1184
• 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
• 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
• 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
• Ahmed, Ahmed; Ahmedatt, Taghi; Hjiaj, Hassane; Touzani, Abdelfattah: Existence of infinitely many weak solutions for some quasilinear $\vec {p}(x)$-elliptic Neumann problems. (English). Mathematica Bohemica, vol. 142 (2017), issue 3, pp. 243-262
• Shahrokhi-Dehkordi, M.S.: On a class of $(p,q)$-Laplacian problems involving the critical Sobolev-Hardy exponents in starshaped domain. (English). Communications in Mathematics, vol. 25 (2017), issue 1, pp. 13-20
• Chen, Caisheng; Song, Hongxue: Soliton solutions for quasilinear Schrödinger equation with critical exponential growth in $\mathbb {R}^N$. (English). Applications of Mathematics, vol. 61 (2016), issue 3, pp. 317-337
• Benedikt, Jiří: Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 215-222
• Nau, Tobias: The $L^p$-Helmholtz projection in finite cylinders. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 1, pp. 119-134
• Takahashi, Futoshi: Continuum spectrum for the linearized extremal eigenvalue problem with boundary reactions. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 137-144
• Mawhin, Jean: Nonlinear boundary value problems involving the extrinsic mean curvature operator. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 299-313
• Kajikiya, Ryuji: Positive solutions of the $p$-Laplace Emden-Fowler equation in hollow thin symmetric domains. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 145-154
• Anello, Giovanni; Rao, Giuseppe: Asymptotic behavior of positive solutions of a Dirichlet problem involving supercritical nonlinearities. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 54 (2013), issue 4, pp. 485-491
• Bigolin, Francesco: Regularity results for a class of obstacle problems in Heisenberg groups. (English). Applications of Mathematics, vol. 58 (2013), issue 5, pp. 531-554
• Boulkhemair, Abdesslam; Nachaoui, Abdeljalil; Chakib, Abdelkrim: A shape optimization approach for a class of free boundary problems of Bernoulli type. (English). Applications of Mathematics, vol. 58 (2013), issue 2, pp. 205-221
• Serrano, Hélia: Homogenization of quadratic complementary energies: a duality example. (English). Mathematica Bohemica, vol. 136 (2011), issue 2, pp. 165-173
• Filinovskiy, Alexey: Spectrum of the weighted Laplace operator in unbounded domains. (English). Mathematica Bohemica, vol. 136 (2011), issue 4, pp. 415-427
• Chen, Jianqing: On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 3, pp. 715-736
• Chen, Jianqing; Rocha, Eugénio M.: Positive solutions for elliptic problems with critical nonlinearity and combined singularity. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 413-422
• Yang, Zuodong; Yuan, Junli: Non-existence result for quasi-linear elliptic equations with supercritical growth. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 3, pp. 417-430
• Galewski, M.; Płócienniczak, M.: On the existence and the stability of solutions for higher-order semilinear Dirichlet problems. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 2, pp. 647-669
• Omana, Rebecca Walo: Sign-changing solutions and multiplicity results for some quasi-linear elliptic Dirichlet problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 3, pp. 395-415
• 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
• Faraci, Francesca: A bifurcation theorem for noncoercive integral functionals. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 45 (2004), issue 3, pp. 443-456
• Halidias, Nikolaos: A nontrivial solution for Neumann noncoercive hemivariational inequalities. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 4, pp. 1065-1075
• Halidias, Nikolaos: Erratum on: ``On Neumann elliptic problems with discontinuous nonlinearities'' [Arch. Math. (Brno) 37 (2001), no. 1, 25--31]. (English). Archivum Mathematicum, vol. 39 (2003), issue 4, pp. 347-348
• 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
• Fiacca, Antonella; Matzakos, Nikolas; Papageorgiou, Nikolaos S.; Servadei, Raffaella: Nonlinear elliptic differential equations with multivalued nonlinearities. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 1, pp. 135-159
• Drábek, Pavel: On Fredholm alternative for certain quasilinear boundary value problems. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 197-202
• Drábek, Pavel; Simader, Christian G.: On general solvability properties of $p$-Lapalacian-like equations. (English). Mathematica Bohemica, vol. 127 (2002), issue 1, pp. 103-122
• Došlý, Ondřej: The Picone identity for a class of partial differential equations. (English). Mathematica Bohemica, vol. 127 (2002), issue 4, pp. 581-589
• Capone, Claudia: Quasiharmonic fields and Beltrami operators. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 363-377
• Gajewski, Herbert: An application of eigenfunctions of $p$-Laplacians to domain separation. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 395-401
• Cingolani, Silvia; Lazzo, Monica: Discontinuous elliptic problems in $\Bbb R^N$ without monotonicity assumptions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 3, pp. 451-458
• 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
• Leonetti, Francesco; Siepe, Francesco: Integrability for vector-valued minimizers of some variational integrals. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 3, pp. 469-479
• Bouchala, Jiří: Landesman–Lazer type conditions and quasilinear elliptic equations. (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. 45-51
• Papageorgiou, Nikolaos S.; Smyrlis, George: A multiplicity theorem for the Neumann problem for nonlinear hemivariational inequalities. (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. 327-337
• Drábek, Pavel: On Fredholm alternative for certain quasilinear boundary value problems. (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. 51-56
• Halidias, Nikolaos: On Neumann elliptic problems with discontinuous nonlinearities. (English). Archivum Mathematicum, vol. 37 (2001), issue 1, pp. 25-31
• Meister, E.; Meister, L.: Some initial boundary problems in electrodynamics for canonical domains in quaternions. (English). Mathematica Bohemica, vol. 126 (2001), issue 2, pp. 429-442
• 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
• Halidias, Nikolaos; Papageorgiou, Nikolaos S.: Quasilinear elliptic problems with multivalued terms. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 803-823
• Ženíšek, Alexander: Green's theorem from the viewpoint of applications. (English). Applications of Mathematics, vol. 44 (1999), issue 1, pp. 55-80
• Tonkes, Elliot: Solutions to a perturbed critical semilinear equation concerning the $N$-Laplacian in $\Bbb R^{N}$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 40 (1999), issue 4, pp. 679-699
• Ženíšek, Alexander: Surface integral and Gauss-Ostrogradskij theorem from the viewpoint of applications. (English). Applications of Mathematics, vol. 44 (1999), issue 3, pp. 169-241
• Svanstedt, Nils: A note on bounds for non-linear multivalued homogenized operators. (English). Applications of Mathematics, vol. 43 (1998), issue 2, pp. 81-92
• 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
• Chabrowski, J.: On nodal radial solutions of an elliptic problem involving critical Sobolev exponent. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 1, pp. 1-16
• Drábek, Pavel: The least eigenvalues of nonhomogeneous degenerated quasilinear eigenvalue problems. (English). Mathematica Bohemica, vol. 120 (1995), issue 2, pp. 169-195
• Ženíšek, Alexander: Variational problems in domains with cusp points. (English). Applications of Mathematics, vol. 38 (1993), issue 4, pp. 381-403
• Tarba, L.; Stará, J.: On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 4, pp. 723-729
• Hlaváček, Ivan: Inequalities of Korn's type, uniform with respect to a class of domains. (English). Aplikace matematiky, vol. 34 (1989), issue 2, pp. 105-112
• Fuchs, Martin: On minimizers with prescribed divergence. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 497-503
• Nédélec, Jean-Claude: Mixed finite element in 3D in $H(\operatorname{div})$ and $H(\operatorname{curl})$. (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. [321]-325
• Hlaváček, Ivan: Optimization of the domain in elliptic problems by the dual finite element method. (English). Aplikace matematiky, vol. 30 (1985), issue 1, pp. 50-72
• Malý, Jan: Positive quasi-minima. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 24 (1983), issue 4, pp. 681-691
• 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
• Haslinger, Jaroslav: Mixed formulation of elliptic variational inequalities and its approximation. (English). Aplikace matematiky, vol. 26 (1981), issue 6, pp. 462-475
• Haslinger, Jaroslav; Lovíšek, Ján: Mixed variational formulation of unilateral problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 21 (1980), issue 2, pp. 231-246
• Hünlich, Rolf; Naumann, Joachim: On general boundary value problems and duality in linear elasticity. II. (English). Aplikace matematiky, vol. 25 (1980), issue 1, pp. 11-32
• Hlaváček, Ivan: Convergence of an equilibrium finite element model for plane elastostatics. (English). Aplikace matematiky, vol. 24 (1979), issue 6, pp. 427-457
• 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
• Hlaváček, Ivan: Dual finite element analysis for semi-coercive unilateral boundary value problems. (English). Aplikace matematiky, vol. 23 (1978), issue 1, pp. 52-71
• Haslinger, Jaroslav: On numerical solution of a variational inequality of the 4th order by finite element method. (English). Aplikace matematiky, vol. 23 (1978), issue 5, pp. 334-345
• 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
• 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
• Haslinger, Jaroslav; Hlaváček, Ivan: A mixed finite element method close to the equilibrium model applied to plane elastostatics. (English). Aplikace matematiky, vol. 21 (1976), issue 1, pp. 28-42
• Haslinger, Jaroslav; Hlaváček, Ivan: Curved elements in a mixed finite element method close to the equilibrium model. (English). Aplikace matematiky, vol. 20 (1975), issue 4, pp. 233-252