On a class of Schrödinger systems with critical exponents
Published online by Cambridge University Press: 30 January 2012
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
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