Multiple solutions for a singular problem involving the fractional \(p\)-\(q\)-Laplacian operator

DOI10.1134/S0001434622110049zbMath1505.35224OpenAlexW4313365116MaRDI QIDQ2680716

Yanyan Li

Publication date: 4 January 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622110049

zbMATH Keywords

singular problemsNehari manifold methodfractional \(p\)-\(q\)-Laplacian operator

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Degenerate elliptic equations (35J70) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
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• Existence and multiplicity of positive solutions for singular quasilinear problems
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• Singular boundary value problems for the \(p\)-Laplacian
• Multiplicity of solutions for a quasilinear elliptic problem via the cohomological index
• A critical fractional elliptic equation with singular nonlinearities
• Multiplicity results for \((p,q)\) fractional elliptic equations involving critical nonlinearities
• Multiplicity of solutions for fractional \(p\& q\)-Laplacian system involving critical concave-convex nonlinearities
• The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms
• Existence and multiplicity of weak positive solutions to a class of fractional Laplacian with a singular nonlinearity
• Singular elliptic problems with lack of compactness
• Wang’s multiplicity result for superlinear $(p,q)$–equations without the Ambrosetti–Rabinowitz condition
• Variational Methods for Nonlocal Fractional Problems
• On a dirichlet problem with a singular nonlinearity
• Regularity and multiplicity results for fractional (p,q)-Laplacian equations
• Combined effects of singular and superlinear nonlinearities in some singular boundary value problems.

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