Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-28T03:28:21.346Z Has data issue: false hasContentIssue false
  • English
  • Français

On a class of Schrödinger systems with critical exponents

Published online by Cambridge University Press:  30 January 2012

Youjun Wang  and
Wenming Zou
Youjun Wang
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China ([email protected]; [email protected])
Wenming Zou
Affiliation:
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China ([email protected]; [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We consider the elliptic system

where N ≥ 4, λ > 0, α1, α2, β ε ℝ, p, p > 1, p + q = 2* = 2N/(N − 2) and α1(x), a2(x) ≥ 0 have potential well. By using variational methods and the category theory, we establish the existence of least energy and multiplicity of solutions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 1 , February 2012 , pp. 199 - 213
Copyright
Copyright © Royal Society of Edinburgh 2012

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.)