16 citations · 16 across the 1 of their papers we have counts for
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A sign-changing solution for the Schrödinger-Poisson equation
Claudianor O. Alves, Marco A. S. Souto, Sérgio H. M. Soares
We find a sign-changing solution for a class of Schrödinger-Poisson system in as an existence result by minimization in a closed subset containing all the sign-chang…
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…
Singularly perturbed biharmonic problems with superlinear nonlinearities
Marcos T. O. Pimenta, Sérgio H. M. Soares
We are interested in finding a family of solutions to a singularly perturbed biharmonic equation which has a concentration behavior. The proof is based on variational methods and i…
Existence and concentration of solutions for a class of biharmonic equations
Marcos T. O. Pimenta, Sérgio H. M. Soares
Some superlinear fourth order elliptic equations are considered. Ground states are proved to exist and to concentrate at a point in the limit. The proof relies on variational metho…