@article{Alves_Pereira_2015, title={Existence and nonexistence of least energy nodal solution for a class of elliptic problem in R2}, volume={46}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2015.078}, DOI={10.12775/TMNA.2015.078}, abstractNote={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 $\mathbb{R}^{2}$.}, number={2}, journal={Topological Methods in Nonlinear Analysis}, author={Alves, Claudianor Oliveira and Pereira, Denilson}, year={2015}, month={Dec.}, pages={867–892} }