Asymptotic behaviour of the solutions of nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient

DOI10.1007/BF03377368zbMath1386.35260OpenAlexW2578473486MaRDI QIDQ1691803

Michel Chipot, Tetiana Savitska

Publication date: 25 January 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03377368

zbMATH Keywords

asymptotic behaviour\(p\)-Laplace operatornonlocal problemasymptotically stable

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear parabolic equations with (p)-Laplacian (35K92) Strong solutions to PDEs (35D35)

Related Items (9)

Long Time Behavior of Stochastic Nonlocal Partial Differential Equations and Wong--Zakai Approximations ⋮ Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise ⋮ Positive solutions for a class of nonlocal problems involving Lebesgue generalized spaces: scalar and system cases ⋮ LONG-TIME BEHAVIOR OF SOLUTIONS TO A NONLOCAL QUASILINEAR PARABOLIC EQUATION ⋮ Unnamed Item ⋮ Global attractor for a nonlocal \(p\)-Laplacian equation without uniqueness of solution ⋮ Anisotropic nonlocal problem with discontinuous nonlinearities ⋮ On a terminal value problem for parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms ⋮ Parabolic Kirchhoff equations with non-homogeneous flux boundary conditions: well-posedness, regularity and asymptotic behavior

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
• On the asymptotic behaviour of some nonlocal problems
• The diffusion of a population partly driven by its preferences
• Anisotropic parabolic equations with variable nonlinearity
• Semi-stable and extremal solutions of reaction equations involving the \(p\)-Laplacian
• Remarks on a nonlocal problem involving the Dirichlet energy
• Asymptotic behaviour of some nonlocal diffusion problems

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