# Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity

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## Resumen

We will focus on the existence of nontrivial solutions to the following nonlinear elliptic equation -Δu + V (x)u = f (u), x ∈ R2, where V is a nonnegative function which can vanish at infinity or be unbounded from above, and f have exponential growth range. The proof involves a truncation argument combined with Mountain Pass Theorem and a Trudinger-Moser type inequality.

Idioma original Inglés 325-351 27 Proyecciones 38 2 https://doi.org/10.4067/S0716-09172019000200325 Publicada - jun. 2019