A priori estimates for the fractional \(p\)-Laplacian with nonlocal Neumann boundary conditions and applications

DOI10.3934/CPAA.2021177zbMath1481.35384OpenAlexW3208403110MaRDI QIDQ2070073

Edoardo Proietti Lippi, Dimitri Mugnai, Perera, Kanishka

Publication date: 21 January 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021177

zbMATH Keywords

Neumann boundary conditionsfractional \(p\)-Laplaciancohomological local splitting

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Blow-up in a fractional Laplacian mutualistic model with Neumann boundary conditions ⋮ Unnamed Item ⋮ A bifurcation result for a Keller-Segel-type problem

Cites Work

• Unnamed Item
• Existence results for fractional \(p\)-Laplacian problems via Morse theory
• Nonlocal problems with Neumann boundary conditions
• Addendum to: Multiplicity of critical points in presence of a linking: Application to a superlinear boundary value problem, nodea. Nonlinear differential equations appl. 11 (2004), no. 3, 379-391, and a comment on the generalized Ambrosetti-Rabinowitz condition
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Homotopical stability of isolated critical points of continuous functionals
• Neumann conditions for the higher order \(s\)-fractional Laplacian \(( - \varDelta)^s u\) with \(s > 1\)
• Neumann fractional \(p\)-Laplacian: eigenvalues and existence results
• Linking over cones for the Neumann fractional \(p\)-Laplacian
• On the existence of ground state solutions to critical growth problems nonresonant at zero
• Weak and viscosity solutions of the fractional Laplace equation
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• NONTRIVIAL SOLUTIONS OF p-SUPERLINEAR p-LAPLACIAN PROBLEMS VIA A COHOMOLOGICAL LOCAL SPLITTING
• Fractional p-eigenvalues

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