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Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems

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Publication:2440839
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zbMath1295.35218MaRDI QIDQ2440839

Junping Shi, Renhao Cui, Yunwen Wang, Ping Li

Publication date: 19 March 2014

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)


zbMATH Keywords

stabilitybifurcationsemilinear elliptic systemlogistic system


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09)


Related Items (6)

A non-variational approach to the existence of nonzero positive solutions for elliptic systems ⋮ On a Hamiltonian elliptic system with concave and convex nonlinearities ⋮ Positive solutions for a class of sublinear elliptic systems ⋮ Uniqueness of positive solutions to some coupled cooperative variational elliptic systems ⋮ Existence and stability of steady-state solutions of reaction-diffusion equations with nonlocal delay effect ⋮ Uniqueness of the positive solution for a non-cooperative model of nuclear reactors






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