19 citations · 23 across the 4 of their papers we have counts for
3 papers · 1 filter
Multiple solutions for a inclusion quasilinear problem with non-homogeneous boundary condition through Orlicz Sobolev spaces
Rodrigo C. M. Nemer, Jefferson A. Santos
In this work we estend a recent result of Kristály, Marzantowicz and Varga concerning the existence of three critical points certain non-smooth functionals. Using this result, we g…
The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with magnetic field
Claudianor O. Alves, Rodrigo C. M. Nemer, Sérgio H. M. Soares
Based on some ideas introduced by Benci and Cerami \cite{benci-cerami_calvar}, we obtain an abstract result that establishes a version of the Morse relations. Afterward, we use thi…
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…