Quasilinear elliptic system with coupling on nonhomogeneous critical term |
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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, Brazil;2. Departamento de Matemática, Universidade Federal do Espírito Santo, 29075-970, Brazil |
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Abstract: | We study the existence of multiple solutions for a quasilinear elliptic system of gradient type with the possibility of coupling on the critical and subcritical terms which are not necessarily homogeneous. The solutions are obtained from a version of the Symmetric Mountain Pass Theorem. A version of the Concentration-Compactness Principle for this class of systems allows us to verify that the Palais–Smale condition is satisfied below a certain level. |
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Keywords: | 35J60 35J50 35J55 |
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