On a nonlocal \(p(x)\)-Laplacian Dirichlet problem involving several critical Sobolev-Hardy exponents
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Publication:6642848
DOI10.7494/opmath.2024.44.6.789MaRDI QIDQ6642848
Ronaldo Lopes da Silva, Augusto César dos Reis Costa
Publication date: 25 November 2024
Published in: Opuscula Mathematica (Search for Journal in Brave)
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Cites Work
- Title not available (Why is that?)
- Existence of solutions for the \(p(x)\)-Laplacian problem with the critical Sobolev-Hardy exponent
- On the Sobolev trace theorem for variable exponent spaces in the critical range
- Solutions for semilinear elliptic equations with critical exponents and Hardy potential
- Some remarks on the Lyusternik-Schnirelman method for non-differentiable functionals invariant with respect to a finite group action
- Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy potential
- The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
- Nodal solutions of semilinear elliptic equations with critical exponent
- The role played by space dimension in elliptic critical problems
- A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents
- Electrorheological fluids: modeling and mathematical theory
- Positive solutions for singular critical elliptic problems.
- Regularity results for stationary electro-rheological fluids
- Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
- A nonlinear elliptic PDE with two Sobolev-Hardy critical exponents
- Solutions of the quasilinear elliptic problem with a critical Sobolev-Hardy exponent and a Hardy-type term
- Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents
- Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
- Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
- The concentration-compactness principle for variable exponent spaces and applications
- Existence of solution to a critical trace equation with variable exponent
- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
- The existence of solutions for elliptic systems with nonuniform growth
- A VARIATIONAL APPROACH FOR A BI-NON-LOCAL ELLIPTIC PROBLEM INVOLVING THE p(x)-LAPLACIAN AND NON-LINEARITY WITH NON-STANDARD GROWTH
- A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
- Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
- Existence of solutions for singular critical growth semilinear elliptic equations
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