Nontrivial solutions for critical potential elliptic systems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:250

Article

Barbosa, Ezequiel R.¹  Montenegro, Marcos¹ 

[1] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil

关键词: Critical Sobolev exponents;    Potential systems;    Nonlinear eigenvalues;    Coercivity;   

DOI  :  10.1016/j.jde.2011.01.001

来源: Elsevier

【 摘 要 】

We consider potential elliptic systems involving p-Laplace operators, critical nonlinearities and lower-order perturbations. Suitable necessary and sufficient conditions for existence of nontrivial solutions are presented. In particular, a number of results on Brezis-Nirenberg type problems are extended in a unified framework. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free