Abstract
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 $\mathbb{R}^{2}$.
Citation
Claudianor O. Alves. Denilson S. Pereira. "Existence and nonexistence of least energy nodal solution for a class of elliptic problem in $\mathbb R^2$." Topol. Methods Nonlinear Anal. 46 (2) 867 - 892, 2015. https://doi.org/10.12775/TMNA.2015.078
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