Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems

DOI10.3934/dcds.2020355zbMath1465.35326arXiv1912.01926OpenAlexW3093556564MaRDI QIDQ2030048

Juan F. Spedaletti, Julián Fernández Bonder, Analia Silva

Publication date: 4 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01926

zbMATH Keywords

fractional \(p\)-Laplacian problemsstability of nonlinear eigenvaluesfractional eigenvalues

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods for eigenvalues of operators (49R05) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

On the optimal control of a linear peridynamics model ⋮ On an anisotropic fractional Stefan-type problem with Dirichlet boundary conditions ⋮ A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Hitchhiker's guide to the fractional Sobolev spaces
• A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
• Aperiodic fractional obstacle problems
• Stability of variational eigenvalues for the fractional \(p\)-Laplacian
• An introduction to \(\Gamma\)-convergence
• Stability of solutions for nonlocal problems
• Fractional order Orlicz-Sobolev spaces
• Fractional eigenvalues
• EIGENVALUE HOMOGENISATION PROBLEM WITH INDEFINITE WEIGHTS
• Γ-convergence: a tool to investigate physical phenomena across scales
• Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel
• Fractional eigenvalue problems that approximate Steklov eigenvalue problems
• Stochastic Homogenization for Some Nonlinear Integro-Differential Equations
• Periodic Homogenization for Nonlinear Integro-Differential Equations
• Fractional p-eigenvalues
• $H$-Convergence Result for Nonlocal Elliptic-Type Problems via Tartar's Method
• Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators

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