Quasilinear elliptic problems under asymptotically linear conditions at infinity and at the origin

Autor:	Marcelo F. Furtado, Maxwell L. Silva, Edcarlos D. Silva
Rok vydání:	2014
Předmět:	Asymptotically linear Nonlinear system symbols.namesake Applied Mathematics General Mathematics Mathematical analysis symbols General Physics and Astronomy Multiplicity (mathematics) Mathematics Schrödinger equation Mathematical physics
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9a4043801e27245d39c701a178b84ec3 https://doi.org/10.1007/s00033-014-0406-9 Zobrazit plný text záznamu Full text from SpringerLink