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