Positive solutions for nonlocal dispersal equation with spatial degeneracy

DOI10.1007/s00033-017-0903-8zbMath1393.45008OpenAlexW2778017592MaRDI QIDQ1742090

Jian-Wen Sun

Publication date: 11 April 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0903-8

zbMATH Keywords

asymptotic behaviorspatial patterndegeneracy domain

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Reaction-diffusion equations (35K57) Positive solutions of integral equations (45M20)

Related Items (9)

Limiting solutions of nonlocal dispersal problem in inhomogeneous media ⋮ Nonlocal effects in kernel-based Turing models ⋮ Approximation solutions of some nonlocal dispersal problems ⋮ Sharp patterns for some semilinear nonlocal dispersal equations ⋮ Local diffusion vs. nonlocal dispersal in periodic logistic equations ⋮ ON THE STABILITY OF A POPULATION MODEL WITH NONLOCAL DISPERSAL ⋮ The effects of degeneracy on nonlocal dispersal logistic equations ⋮ Positive solutions for diffusive logistic equation with refuge ⋮ Sharp profiles for periodic logistic equation with nonlocal dispersal

Cites Work

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• Positive solutions with prescribed patterns in some simple semilinear equations
• The evolution of dispersal
• Asymptotic behavior for a nonlocal diffusion equation in domains with holes
• Blow-up profiles for positive solutions of nonlocal dispersal equation
• A nonlocal dispersal equation arising from a selection-migration model in genetics
• Asymptotic behavior for nonlocal diffusion equations
• Asymptotic Behavior for a One-Dimensional Nonlocal Diffusion Equation in Exterior Domains
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Unnamed Item

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