Existence and asymptotic behavior of positive solutions for a class of locally superlinear Schrödinger equation

Shinji Adachi, Norihisa Ikoma, Tatsuya Watanabe

This paper treats the existence of positive solutions of $-\Delta u+V(x)u=\lambda f(u)$ in ${\mathbb{R}}^N$. Here $N\ge 1$, $\lambda >0$ is a parameter and $f(u)$ satisfies conditions only in a…