Quasilinear elliptic problems under asymptotically linear conditions at infinity and at the origin
Autor: | Marcelo F. Furtado, Maxwell L. Silva, Edcarlos D. Silva |
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Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Zeitschrift für angewandte Mathematik und Physik. 66:277-291 |
ISSN: | 1420-9039 0044-2275 |
Popis: | We obtain existence and multiplicity of solutions for the quasilinear Schrodinger equation $$-\Delta u + V(x)u - \Delta(u^2)u = g(x,u), \,\, x \in \mathbb{R}^N,$$ where V is a positive potential and the nonlinearity g(x, t) behaves like t at the origin and like t3 at infinity. In the proof, we apply a changing of variables besides variational methods. The obtained solutions belong to \({W^{1,2}(\mathbb{R}^N)}\) . |
Databáze: | OpenAIRE |
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