Solutions for quasilinear Schrödinger systems with critical exponents

2014 ◽  
Vol 66 (3) ◽  
pp. 517-546 ◽  
Author(s):  
Yuxia Guo ◽  
Bo Li
Keyword(s):  
Critical Exponents ◽  
Schrödinger Systems ◽  
Quasilinear Schrödinger Systems

On a class of Schrödinger systems with critical exponents

2012 ◽  
Vol 142 (1) ◽  
pp. 199-213 ◽  
Author(s):  
Youjun Wang ◽  
Wenming Zou
Keyword(s):  
Variational Methods ◽  
Elliptic System ◽  
Critical Exponents ◽  
Category Theory ◽  
Potential Well ◽  
Multiplicity Of Solutions ◽  
Schrödinger Systems ◽  
Image Position ◽  
Least Energy

We consider the elliptic systemwhere 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.

Sign in / Sign up

Export Citation Format

Share Document