Existence, uniqueness and stability of positive solutions to sublinear elliptic systems-Reference-Cited by-同舟云学术

Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

Published:2011-02 Issue:1 Volume:141 Page:45-64
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Chern Jann-Long,Tang Yong-Li,Lin Chang-Shou,Shi Junping

Abstract

The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with Hölder continuous nonlinearities are also considered.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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