Linking over cones for the Neumann fractional \(p\)-Laplacian

DOI10.1016/j.jde.2020.09.018zbMath1454.35412arXiv2002.04273OpenAlexW3088263848MaRDI QIDQ2214706

Edoardo Proietti Lippi, Dimitri Mugnai

Publication date: 10 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04273

zbMATH Keywords

lack of Ambrosetti-Rabinowitz conditionlinking over cones

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Integral operators (47G10) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Blow-up in a fractional Laplacian mutualistic model with Neumann boundary conditions ⋮ The Neumann problem for a class of semilinear fractional equations with critical exponent ⋮ Robust nonlocal trace spaces and Neumann problems ⋮ Unnamed Item ⋮ A priori estimates for the fractional \(p\)-Laplacian with nonlocal Neumann boundary conditions and applications ⋮ Fractional Sobolev space on time scales and its application to a fractional boundary value problem on time scales

Cites Work

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• \(p\)-Laplacian problems where the nonlinearity crosses an eigenvalue
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• Variational Methods for Nonlocal Fractional Problems
• Fractional eigenvalue problems that approximate Steklov eigenvalue problems
• Strong maximum principles for fractional Laplacians
• Existence theorems for fractional p-Laplacian problems

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