Quasilinear asymptotically periodic Schrödinger equations with subcritical growth |
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Authors: | Elves AB Silva Gilberto F Vieira |
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Institution: | Departamento de Matemática, Universidade de Brasília, 70910-900 Brasília-DF, Brazil |
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Abstract: | In this article the existence of one solution for a class of asymptotically periodic equations in the euclidean space is established. The basic tools employed here are the Mountain Pass Theorem and the Concentration-Compactness Principle. By using a change of variable, the quasilinear equation is reduced to a semilinear equation, whose respective associated functional is well defined in H1(RN) and satisfies the geometric hypotheses of the Mountain Pass Theorem. |
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Keywords: | primary 35J20 35J60 secondary 35Q55 |
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