Existence of Positive Solution for a System of Quasilinear Schrodinger

Abstract

We investigate the existence of standing wave solutions for quasilinear Schrodinger systems. To address the challenges posed by non differentiability, we adopt the dual approach introduced by Colin and Jeanjean. The existence of solutions is established using Del Pino and Felmer's penalization technique, with refinements inspired by Alves' arguments.

We found published version of this work in the thesis titled "Existência de Solução Positiva para uma Classe de Equação de Schrodinger Quasilineares em RN" here's the link to access it for complete calculations https://pdm.propesp.ufpa.br/ARQUIVOS/teses/2022/Tese%20Laila%20Concei%C3%A7%C3%A3o%20Fontinele.pdf