A positive solution of asymptotically periodic Schrödinger equations with local superlinear nonlinearities

In this paper, we investigate the following Schrödinger equation \begin{equation*} -\Delta u+V(x)u=\lambda f(u) \quad {\rm in} \ \mathbb{R}^N, \end{equation*} where $N\geq 3$, $\lambda>0$, $V$ is an asymptotically periodic potential and the nonlinearity term $f(u)$ is only locally defined for $|u|$...

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Autors principals:	Gui-Dong Li, Yong-Yong Li, Chun-Lei Tang
Format:	Artigo
Idioma:	Inglês
Publicat:	University of Szeged 2020-05-01
Col·lecció:	Electronic Journal of Qualitative Theory of Differential Equations
Matèries:	schrödinger equation positive solution locally defined nonlinearity asymptotically periodic potential
Accés en línia:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8038
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