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arXiv:1404.7649 [math.AP]AbstractReferencesReviewsResources

Existence and nonexistence of least energy nodal solution for a class of elliptic problem in $\mathbb{R}^{2}$

Claudianor O. Alves, Denilson S. Pereira

Published 2014-04-30Version 1

In this work, we prove the existence of least energy nodal solution 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 $\mathbb{R}^{2}$.

Categories: math.AP
Subjects: 35A15, 35J15
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