arXiv subjects

Rodrigo C. M. Nemer

Publications and source records attributed to Rodrigo C. M. Nemer.

2 recordsLinked to original sources

arXiv2016

Multiple solutions for a inclusion quasilinear problem with non-homogeneous boundary condition through Orlicz Sobolev spaces

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 guarantee the existence of three solutions to a inclusion quasilinear problem, with non-homogeneous boundary condition through Orlicz Sobolev spaces.

math.AP↗

arXiv2014

The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with magnetic field

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 this result to prove multiplicity of solutions for a nonlinear Schrödinger equation with an external magnetic field.

math.AP↗