Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-28T06:50:21.115Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  11 February 2011

Jann-Long Chern ,
Yong-Li Tang ,
Chang-Shou Lin  and
Junping Shi
Jann-Long Chern
Affiliation:
Department of Mathematics, National Central University, Chung-Li 32001, Taiwan ([email protected]; [email protected])
Yong-Li Tang
Affiliation:
Department of Mathematics, National Central University, Chung-Li 32001, Taiwan ([email protected]; [email protected])
Chang-Shou Lin
Affiliation:
Department of Mathematics, Taida Institute for Mathematical Sciences, National Taiwan University, Taipei 10617, Taiwan ([email protected])
Junping Shi
Affiliation:
Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USA ([email protected])
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 1 , February 2011 , pp. 45 - 64
Copyright
Copyright © Royal Society of Edinburgh 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)