Ground states for a nonhomogeneous elliptic system involving Hardy-Sobolev critical exponents

2016 ◽  
Vol 290 (7) ◽  
pp. 1053-1065 ◽  
Author(s):  
Zhenyu Guo
Keyword(s):  
Elliptic System ◽  
Critical Exponents ◽  
Ground States

scholarly journals Existence of bound and ground states for an elliptic system with double criticality

2022 ◽  
Vol 216 ◽  
pp. 112730
Author(s):  
Eduardo Colorado ◽  
Rafael López-Soriano ◽  
Alejandro Ortega
Keyword(s):  
Elliptic System ◽  
Ground States

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.

Ground states for fractional Schrödinger equations involving a critical nonlinearity

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
Xia Zhang ◽  
Binlin Zhang ◽  
Mingqi Xiang
Keyword(s):  
Critical Exponents ◽  
Ground States ◽  
Real Parameter ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Critical Nonlinearity ◽  
Fractional Schrödinger Equations

AbstractThis paper is aimed to study ground states for a class of fractional Schrödinger equations involving the critical exponents:where λ is a real parameter,

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