Existence of nontrivial radial solution for semilinear equation with critical or supercritical variable exponent
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Publication:6180633
DOI10.24193/fpt-ro.2022.2.05OpenAlexW4365402080MaRDI QIDQ6180633
Publication date: 2 January 2024
Published in: Fixed Point Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.24193/fpt-ro.2022.2.05
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) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Cites Work
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- Compact embedding from \(W_0^{1,2}(\Omega)\) to \(L^{q(x)}(\Omega )\) and its application to nonlinear elliptic boundary value problem with variable critical exponent
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- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- Compact embeddings for Sobolev spaces of variable exponents and existence of solutions for nonlinear elliptic problems involving the p(x)-Laplacian and its critical exponent
- Multiple solutions for a class of p ( x )-Laplacian equations in involving the critical exponent
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