Elliptic equations with diffusion parameterized by the range of nonlocal interactions

DOI10.1007/s10231-009-0104-yzbMath1181.35103OpenAlexW2059517826MaRDI QIDQ1048232

Armel Andami Ovono, Arnaud Rougirel

Publication date: 11 January 2010

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-009-0104-y

zbMATH Keywords

parameternonlocal diffusionnonlocal elliptic equationsbranches of solutions

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Bifurcations in context of PDEs (35B32) Quasilinear elliptic equations (35J62)

Related Items (5)

An intermediate local–nonlocal eigenvalue elliptic problem ⋮ Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise ⋮ Global existence and maximal regularity of solutions of gradient systems ⋮ Global attractor for a nonlocal \(p\)-Laplacian equation without uniqueness of solution ⋮ Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms

Cites Work

• Unnamed Item
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• On the asymptotic behaviour of some nonlocal problems
• Asymptotic behavior for nonlocal diffusion equations
• Asymptotic behaviour of some nonlocal diffusion problems

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