On a PDE involving the \(\mathcal A_{p(\cdot )}\)-Laplace operator

DOI10.1016/j.na.2011.09.034zbMath1269.35009arXiv1603.05046OpenAlexW2298383639MaRDI QIDQ651165

Mihai Mihăilescu, Dušan D. Repovš

Publication date: 8 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05046

zbMATH Keywords

weak solutionSchauder's fixed point theoremcritical point\(\mathcal A_{p(\cdot )}\)-Laplace operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (4)

Positive solutions for four points \(p(t)\) Laplacian bvp ⋮ Existence of multiple solution for a singular \(p(x)\)-Laplacian problem ⋮ On a PDE involving the variable exponent operator with nonlinear boundary conditions ⋮ Existence of solutions for nonlocal elliptic systems involving \(p(x)\)-Laplace operator

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