Multiplicity of solutions for quasilinear elliptic systems with critical growth |
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Authors: | Elves A. B. Silva Magda S. Xavier |
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Affiliation: | (1) Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília, DF, Brasil;(2) Departamento de Matemática, Universidade Federal do Espírito Santo, 29075-910 Vitória, ES, Brasil |
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Abstract: | We study the existence of multiple solutions for a quasilinear elliptic system of gradient type with critical growth and the possibility of coupling on the subcritical term. The solutions are obtained from a version of the Symmetric Mountain Pass Theorem. The Concentration-Compactness Principle allows to verify that the Palais-Smale condition is satisfied below a certain level. The authors were partially supported by CNPq/Brazil |
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Keywords: | 35J60 35J50 35J55 |
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