Multiple solutions to Bahri-Coron problem involving fractional \(p\)-Laplacian in some domain with nontrivial topology

DOI10.12775/tmna.2022.033WikidataQ123026354 ScholiaQ123026354MaRDI QIDQ6187511

Uttam Kumar, Sweta Tiwari

Publication date: 15 January 2024

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-61/issue-2/Multiple-solutions-to-Bahri-Coron-problem-involving-fractional-p-Laplacian/10.12775/TMNA.2022.033.full

zbMATH Keywords

critical exponentnonlocal problemfractional \(p\)-Laplacianglobal compactness

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Topological and monotonicity methods applied to PDEs (35A16)

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