Abstract
In this paper we prove the existence of a sign-changing solutions for the equation $$ -\Delta u - \frac{1}{2} ( x \cdot \nabla u) = f(u), \quad x \in \mathbb{R}^2, $$ where $f$ has exponential critical growth in the sense of the Trudinger-Moser inequality. In the proof we apply variational methods.
Citation
Giovany M. Figueiredo. Marcelo F. Furtado. Ricardo Ruviaro. "Nodal solution for a planar problem with fast increasing weights." Topol. Methods Nonlinear Anal. 54 (2A) 793 - 805, 2019. https://doi.org/10.12775/TMNA.2019.070