TY - JOUR
AU - Alves, Claudianor Oliveira
AU - Pereira, Denilson
PY - 2015/12/01
Y2 - 2023/01/27
TI - Existence and nonexistence of least energy nodal solution for a class of elliptic problem in R2
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 46
IS - 2
SE -
DO - 10.12775/TMNA.2015.078
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2015.078
SP - 867 - 892
AB - In this work, we prove the existence of least energy nodal solutions for a class of elliptic problem in both cases, bounded and unbounded domain, when the nonlinearity has exponential critical growth in $\mathbb{R}^2$. Moreover, we also prove a nonexistence result of least energy nodal solution for the autonomous case in whole $\mathbb{R}^{2}$.
ER -