An Elliptic Nonlinear System of Two Functions with Application

DOI10.4208/jpde.v36.n2.2zbMath1524.35014OpenAlexW4383047128MaRDI QIDQ6172563

Joon Hyuk Kang, Timothy Robertson

Publication date: 19 July 2023

Published in: Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jpde.v36.n2.2

zbMATH Keywords

coexistence statecompetition system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data
• Positive solutions to general elliptic competition models
• On the uniqueness of the positive steady state for Lotka-Volterra models with diffusion
• On uniqueness of positive solutions of nonlinear elliptic boundary value problems
• Perturbation of a nonlinear elliptic biological interacting model
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model

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