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Topological Methods in Nonlinear Analysis

Nodal solution for a planar problem with fast increasing weights
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Nodal solution for a planar problem with fast increasing weights

Authors

  • Giovany M. Figueiredo https://orcid.org/0000-0003-1697-1592
  • Marcelo F. Furtado https://orcid.org/0000-0002-8725-4286
  • Ricardo Ruviaro https://orcid.org/0000-0002-3255-2446

Keywords

Nodal solutions, critical exponential growth, self-similar solutions

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.

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Published

2019-12-01

How to Cite

1.
FIGUEIREDO, Giovany M., FURTADO, Marcelo F. and RUVIARO, Ricardo. Nodal solution for a planar problem with fast increasing weights. Topological Methods in Nonlinear Analysis. Online. 1 December 2019. Vol. 54, no. 2, pp. 793 - 805. [Accessed 7 July 2025].
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