Existence and multiplicity of solutions for Dirichlet problem of \(p(x)\)-Laplacian type without the Ambrosetti-Rabinowitz condition
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Publication:2033251
DOI10.1016/J.JMAA.2020.123882zbMath1473.35311OpenAlexW3004492871MaRDI QIDQ2033251
Publication date: 14 June 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123882
Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (4)
Nehari type ground state solutions for periodic Schrödinger–Poisson systems with variable growth ⋮ Existence and multiplicity of solutions for a new \(p(x)\)-Kirchhoff problem with variable exponents ⋮ The existence and multiplicity of solutions for \(p(x)\)-Laplacian-like Neumann problems ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity
Cites Work
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- Multiplicity of solutions on a nonlinear eigenvalue problem for \(p(x)\)-Laplacian-like operators
- On the superlinear problems involving \(p(x)\)-Laplacian-like operators without AR-condition
- Orlicz spaces and modular spaces
- Superlinear problems without Ambrosetti and Rabinowitz growth condition
- Nontrivial solutions for Schrödinger equation with local super-quadratic conditions
- Double phase anisotropic variational problems and combined effects of reaction and absorption terms
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Dual variational methods in critical point theory and applications
- Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
- Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions
- Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems
- Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions
- Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Nonlinear elliptic equations with variable exponent: old and new
- AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
- OnLp(x)norms
- Existence results for perturbations of the p-Laplacian
- Sobolev embeddings with variable exponent
- Nonlinear Analysis - Theory and Methods
- Partial Differential Equations with Variable Exponents
- Double phase transonic flow problems with variable growth: nonlinear patterns and stationary waves
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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