On some eigenvalue problem involving a non-homogeneous differential operator

DOI10.1080/17476933.2012.681647zbMath1291.35138OpenAlexW2021506865MaRDI QIDQ2855454

Sami Aouaoui

Publication date: 25 October 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2012.681647

zbMATH Keywords

eigenvalue problemvariational methodsOrlicz-Sobolev spacesnon-homogeneous operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (3)

Infinitely many sign-changing solutions to some quasilinear equation involving exponential term ⋮ Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces ⋮ Multiple solutions to some degenerate quasilinear equation with variable exponents via perturbation method

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces
• Combined effects in nonlinear problems arising in the study of anisotropic continuous media
• Existence and multiplicity of solutions for quasilinear nonhomogeneous problems: an Orlicz-Sobolev space setting
• Quasilinear elliptic problems in \(\mathbb R^N\) involving oscillatory nonlinearities
• Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
• Multiplicity of solutions for quasilinear elliptic equations in \(\mathbb R^N\)
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Critical points for multiple integrals of the calculus of variations
• EIGENVALUE PROBLEMS ASSOCIATED WITH NONHOMOGENEOUS DIFFERENTIAL OPERATORS, IN ORLICZ–SOBOLEV SPACES
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations

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