arXiv subjects

Claudianor Oliveira Alves

Publications and source records attributed to Claudianor Oliveira Alves.

2 recordsLinked to original sources

arXiv2019

A global minimization trick to solve some classes of Berestycki-Lions type problems

In this paper we show an abstract theorem that can be used to prove the existence of solution for a class of elliptic equation considered in Berestycki-Lions \cite{berest} and related problems. Moreover, we use the abstract theorem to show that a class of zero mass problems has multiple solutions, which is new for this type of problem.

math.AP↗

arXiv2013

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

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-Shnirelman category and the Morse theory to estimate the number of nontrivial solutions in terms of the topology of the part of the boundary where the Neumann condition is prescribed.

math.AP↗