Standing waves for quasilinear Schrödinger equations involving double exponential growth

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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.

Idioma originalInglés
Páginas (desde-hasta)1682-1695
Número de páginas14
PublicaciónAIMS Mathematics
Volumen8
N.º1
DOI
EstadoPublicada - 2023

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© 2023, American Institute of Mathematical Sciences. All rights reserved.

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