Nontrivial solutions for critical potential elliptic systems

作者：Barbosa Ezequiel R; Montenegro Marcos^*

来源：Journal of Differential Equations, 2011, 250(8): 3398-3417.

DOI：10.1016/j.jde.2011.01.001

• Critical Sobolev exponents
• Potential systems
• Nonlinear eigenvalues
• Coercivity

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.

• 出版日期2011-4-15