On a class of \(p(x)\)-Choquard equations with sign-changing potential and upper critical growth
From MaRDI portal
Publication:2243641
DOI10.1007/s12215-020-00553-yzbMath1479.35485OpenAlexW3088141738MaRDI QIDQ2243641
Publication date: 11 November 2021
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-020-00553-y
Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Existence of two solutions for a critical elliptic problem with nonlocal term in \(\mathbb{R}^4\) ⋮ Anisotropic Navier Kirchhoff problems with convection and Laplacian dependence ⋮ Existence result for Neumann problems with \(p(x)\)-Laplacian-like operators in generalized Sobolev spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and multiplicity of solutions for a \(p(x)\)-Laplacian equation with critical growth
- A guide to the Choquard equation
- Existence of radial solutions for a class of \(p(x)\)-Laplacian equations with critical growth.
- Orlicz spaces and modular spaces
- On stationary thermo-rheological viscous flows
- On the sub-supersolution method for \(p(x)\)-Laplacian equations
- Image recovery via total variation minimization and related problems
- Existence and multiplicity of solutions of semilinear elliptic equations in \(\mathbb{R}^N\)
- Electrorheological fluids: modeling and mathematical theory
- Regularity results for electrorheological fluids: The stationary case
- Remarks about a fractional Choquard equation: ground state, regularity and polynomial decay
- Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\)
- Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- Minimax theorems
- Existence of a positive solution for a Kirchhoff problem type with critical growth via truncation argument
- Dual variational methods in critical point theory and applications
- Existence and multiplicity results for a new \(p(x)\)-Kirchhoff problem
- Regularity for minimizers for functionals of double phase with variable exponents
- Nonlinear elliptic equations with variable exponent: old and new
- Limit profiles and uniqueness of ground states to the nonlinear Choquard equations
- Choquard-type equations with Hardy-Littlewood-Sobolev upper-critical growth
- \(p(x)\)-Laplacian equations in \(\mathbb R^N\) with periodic data and nonperiodic perturbations
- A Hardy-Littlewood-Sobolev-type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- On a p(x)-Kirchhoff equation with critical exponent and an additional nonlocal term via truncation argument
- Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
- Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent
- The Choquard equation and related questions
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Critical Growth Elliptic Problems with Choquard Type Nonlinearity: A Survey
- On a class of fractional p(x) -Kirchhoff type problems
- Nonlinear perturbations of a ‐Laplacian equation with critical growth in
- Partial Differential Equations with Variable Exponents
- Existence of groundstates for a class of nonlinear Choquard equations
- Variable Exponent, Linear Growth Functionals in Image Restoration
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
