Uniqueness and least energy property for solutions to a strongly coupled elliptic system

2016 ◽  
Vol 33 (3) ◽  
pp. 419-438 ◽  
Author(s):  
Shan Zhang ◽  
Ling Zhou ◽  
Zu Han Liu
Keyword(s):  
Elliptic System ◽  
Strongly Coupled ◽  
Least Energy ◽  
Energy Property

The spatial behavior of a strongly coupled non-autonomous elliptic system

2012 ◽  
Vol 75 (6) ◽  
pp. 3099-3106 ◽  
Author(s):  
Ling Zhou ◽  
Shan Zhang ◽  
Zuhan Liu ◽  
Zhigui Lin
Keyword(s):  
Elliptic System ◽  
Spatial Behavior ◽  
Strongly Coupled

scholarly journals Uniqueness and least energy property for solutions to strongly competing systems

2006 ◽  
pp. 437-446 ◽  
Author(s):  
Monica Conti ◽  
Susanna Terracini ◽  
Gianmaria Verzini
Keyword(s):  
Least Energy ◽  
Energy Property

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.

Uniform Hölder bounds for a strongly coupled elliptic system with strong competition

2012 ◽  
Vol 75 (16) ◽  
pp. 6120-6129 ◽  
Author(s):  
Ling Zhou ◽  
Shan Zhang ◽  
Zuhan Liu
Keyword(s):  
Elliptic System ◽  
Strongly Coupled ◽  
Strong Competition

Coexistence of three species in a strongly coupled elliptic system

2003 ◽  
Vol 55 (3) ◽  
pp. 313-333 ◽  
Author(s):  
Kwang Ik Kim ◽  
Zhigui Lin
Keyword(s):  
Elliptic System ◽  
Strongly Coupled
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