Schrödinger equations with asymptotically periodic terms

الأصل · EN

We study the existence of nontrivial solutions for a class of asymptotically periodic semilinear Schrödinger equations in Rⁿ. By combining variational methods and the concentration-compactness principle we obtain a nontrivial solution for asymptotically periodic problem and a ground state solution for the periodic problem. In the proofs we apply the Mountain Pass Theorem and its local version.