Uberlandio B. Severo, Bruno H. C. Ribeiro, Diogo de S. Germano
Abstract:
In this article we study the existence of solutions to quasilinear Schrodinger
equations in the plane, involving a potential that can change sign and a
nonlinear term that may be discontinuous and exhibit exponential critical growth.
To prove our existence result, we combine the Trudinger-Moser inequality with a
fixed point theorem.
Submitted March 7, 2023. Published February 5, 2024.
Math Subject Classifications: 35J20, 35J25, 35J50.
Key Words: Quasilinear Schrodinger equation; fixed point theorem; Trudinger-Moser inequality.
DOI: 10.58997/ejde.2024.14
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Uberlandio B. Severo Universidade Federal da Paraíba Departamento de Matemática CEP 58051-900, João Pessoa - PB, Brazil email: uberlandio@mat.ufpb.br |
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Bruno H. C. Ribeiro Universidade Federal da Paraíba Departamento de Matemática CEP 58051-900, João Pessoa - PB, Brazil email: bruno@mat.ufpb.br |
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Diogo de S. Germano Universidade Federal de Campina Grande Unidade Académica de Matemática CEP 58109-970, Campina Grande - PB, Brazil email: diogosg@mat.ufcg.edu.br |
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