Existence and multiplicity of solutions for degenerate $p(x)$-Laplace equations involving concave-convex type nonlinearities with two parameters

DOI10.11650/TJM.19.2015.5187zbMath1360.35076OpenAlexW2142051548MaRDI QIDQ514943

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.5187

zbMATH Keywords

multiplicity nonnegative solutions $p(x)$-Laplacian concave-convex nonlinearities weighted variable exponent Lebesgue-Sobolev spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62) Positive solutions to PDEs (35B09)

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Existence and multiplicity of solutions for degenerate \(p(x)\)-Laplace equations involving concave-convex type nonlinearities with two parameters