Stability of solutions for nonlocal problems

DOI10.1016/J.NA.2020.112080zbMath1448.35544arXiv1910.04815OpenAlexW3047461766MaRDI QIDQ2201757

Julián Fernández Bonder, Ariel Martin Salort

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.04815

zbMATH Keywords

convergence of eigenvaluesnonlinear sourcessingular nonlinear integral equationsconvergence of ground state solutionsfractional parameter goes to one

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Singular nonlinear integral equations (45G05) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Small order asymptotics for nonlinear fractional problems ⋮ Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods ⋮ Spectral stability for the peridynamic fractional \(p\)-Laplacian ⋮ Existence and convergence of solutions to fractional pure critical exponent problems ⋮ Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems ⋮ A Bourgain-Brezis-Mironescu formula for anisotropic fractional Sobolev spaces and applications to anisotropic fractional differential equations

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