Nontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field

Claudianor Oliveira Alves, Rodrigo Cohen Mota Nemer, Sérgio Henrique Monari Soares

We study the existence of solutions for a class of nonlinear Schrödinger equations involving a magnetic field with mixed Dirichlet-Neumann boundary conditions. We use Lyusternik-Sh…