A uniqueness theorem of radially symmetric positive stationary solutions for a competition-diffusion system

DOI10.1016/J.JMAA.2014.08.054zbMath1307.35009OpenAlexW2068626395MaRDI QIDQ458351

Yukio Kan-On

Publication date: 7 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.054

zbMATH Keywords

uniqueness theoremshooting methodcompetition-diffusion systemradially symmetric positive solution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Comparison principles in context of PDEs (35B51)

Related Items (1)

Structure of radially symmetric positive stationary solutions for a reaction-diffusion system with competitive interaction

Cites Work

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• Global bifurcation structure of positive stationary solutions for a classical Lotka-Volterra competition model with diffusion
• Some global results for nonlinear eigenvalue problems
• Uniqueness and nonuniqueness of coexistence states in the lotka‐volterra competition model

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