Affiliation:
1. Departamento de Matemática Universidade Federal Rural de Pernambuco Pernambuco Brazil
2. Departamento de Matemática Universidade Federal de Pernambuco Pernambuco Brazil
Abstract
AbstractWe establish the existence of nontrivial solutions for the following class of quasilinear Schrödinger equations:
where κ is a positive parameter, and are continuous functions that can be singular at the origin, unbounded or vanishing at infinity, and the nonlinearity has critical exponential growth motivated by the Trudinger–Moser inequality. To prove our main result, we apply variational methods together with careful ‐estimates.
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
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