Existence and nonexistence of least energy nodal solution for a class of elliptic problem in R2
DOI:
https://doi.org/10.12775/TMNA.2015.078Keywords
Variational methods, exponential critical growth, nodal solutionAbstract
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 $\mathbb{R}^{2}$.References
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