Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

DOI10.1080/17476933.2020.1781832zbMath1478.35222arXiv2006.00260OpenAlexW3039318907MaRDI QIDQ5860806

Sekhar Ghosh, Ratan Kr. Giri, Debajyoti Choudhuri

Publication date: 23 November 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00260

zbMATH Keywords

symmetric mountain pass theoremMoser iteration techniquevariable order fractional Sobolev spacefractional \(p(\cdot)\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Singular elliptic equations (35J75) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (5)

Infinitely many solutions for a doubly nonlocal fractional problem involving two critical nonlinearities ⋮ On critical variable-order Kirchhoff type problems with variable singular exponent ⋮ Existence results for singular double phase problem with variable exponents ⋮ Existence of multiple solution for a singular \(p(x)\)-Laplacian problem ⋮ Mixed order elliptic problems driven by a singularity, a Choquard type term and a discontinuous power nonlinearity with critical variable exponents

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