Ground state solution and multiple solutions to asymptotically linear Schrödinger equations
Xiangdong Fang, Zhiqing Han · Boundary Value Problems · 2014
In this paper, we consider the Schrödinger equation , , where V and f are periodic in , asymptotically linear and satisfies a monotonicity condition. We use the generalized Nehari manifold methods to obtain a ground state solution and infinitely many geometrically distinct solutions when f is odd in u.