Multiplicity of solutions for a nonhomogeneous problem involving a potential in Orlicz-Sobolev spaces
DOI10.21494/ISTE.OP.2021.0722zbMath1522.35253OpenAlexW3197803818MaRDI QIDQ6177232
Publication date: 31 August 2023
Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21494/iste.op.2021.0722
quasilinear elliptic equationmountain pass theoremEkeland's variational principleDirichlet condition
Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple solutions for a nonlinear and non-homogeneous problem in Orlicz-Sobolev spaces
- Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting
- Neumann problems associated to nonhomogeneous differential operators in Orlicz-Sobolev spaces
- On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
- Mountain pass type solutions for quasilinear elliptic equations
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Perturbed Kirchhoff-type Neumann problems in Orlicz-Sobolev spaces
- Nonlinear elliptic equations with variable exponent: old and new
- Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
- Existence of solutions to a semilinear elliptic system trough Orlicz-Sobolev spaces
- 𝑝(𝑥)-Laplacian with indefinite weight
- Eigenvalue problems for anisotropic equations involving a potential on Orlicz-Sobolev type spaces
- Nonhomogeneousp(x)-Laplacian Steklov problem with weights
- Partial Differential Equations with Variable Exponents
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: Multiplicity of solutions for a nonhomogeneous problem involving a potential in Orlicz-Sobolev spaces
