Standing waves for quasilinear Schrödinger equations involving double exponential growth

Leuyacc Y.R.S. · AIMS Mathematics (2023) · DOI: 10.3934/math.2023086

Resumen

We will focus on the existence of nontrivial, nonnegative solutions to the following quasilinear Schrödinger equation where B1 denotes the unit ball centered at the origin in R2 and g behaves like exp(es4) as s tends to infinity, the growth of the nonlinearity is motivated by a Trudinder-Moser inequality version, which admits double exponential growth. The proof involves a change of variable (a dual approach) combined with the mountain pass theorem.

Instituciones: Universidad Nacional Mayor de San Marcos