TY - JOUR AU - Santaria Leuyacc, Yony Raúl PY - 2019/05/31 Y2 - 2024/03/29 TI - Nonlinear elliptic equations in dimension two with potentials which can vanish at infinity. JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 38 IS - 2 SE - DO - UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3579 SP - 325-351 AB - We will focus on the existence of nontrivial solutions to the following nonlinear elliptic equation−∆u + 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. ER -