Hostname: page-component-848d4c4894-ttngx Total loading time: 0 Render date: 2024-05-15T21:32:03.584Z Has data issue: false hasContentIssue false
  • English
  • Français

Multiple positive solutions for a critical elliptic system with concave—convex nonlinearities

Published online by Cambridge University Press:  04 November 2009

Tsing-San Hsu  and
Huei-Li Lin
Tsing-San Hsu
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, (tshsu@mail.cgu.edu.tw)
Huei-Li Lin
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, (tshsu@mail.cgu.edu.tw)
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider a semilinear elliptic system with both concave—convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1163 - 1177
Copyright
Copyright © Royal Society of Edinburgh 2009

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.)