Ground state solution and multiple solutions to asymptotically linear Schrödinger equations

Xiang-Dong Fang, Zhi-Qing Han
2014 Boundary Value Problems  
In this paper, we consider the Schrödinger equation where V and f are periodic in x 1 , . . . , x N , 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.
doi:10.1186/s13661-014-0216-1 fatcat:fwovdhc655fmxeoxwhhkwhu4iu