Existence of solutions to quasilinear Schrodinger equations with exponential nonlinearity

Authors

  • Uberlandio B. Severo Univ. Federal da Paraiba, Brazil
  • Bruno H. C. Ribeiro Univ. Federal da Paraiba, Brazil
  • Diogo de S. Germano Univ. Federal de Campina Grande, Brazil

DOI:

https://doi.org/10.58997/ejde.2024.14

Keywords:

Quasilinear Schrodinger equation; fixed point theorem; Trudinger-Moser inequality

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.

For mote information see https://ejde.math.txstate.edu/Volumes/2024/14/abstr.html

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Published

2024-02-05

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How to Cite

Existence of solutions to quasilinear Schrodinger equations with exponential nonlinearity. (2024). Electronic Journal of Differential Equations, 2024(01-??), No. 14, 1-14. https://doi.org/10.58997/ejde.2024.14