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Nontrivial solutions for critical potential elliptic systems
Authors:Ezequiel R. Barbosa
Affiliation:Departamento de Matemática, Universidade Federal de Minas Gerais, Caixa Postal 702, 30123-970, Belo Horizonte, MG, Brazil
Abstract: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.
Keywords:35J65   49K20   35J40
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