Giovany M. Figueiredo, Uberlandio B. Severo
Published 2013-05-12Version 1
We establish the existence of a positive ground state solution for a Kirchhoff problem in $\mathbb{R}^2$ involving critical exponential growth, that is, the nonlinearity behaves like $\exp(\alpha_{0}s^{2})$ as $|s| \to \infty$, for some $\alpha_{0}>0$. In order to obtain our existence result we used minimax techniques combined with the Trudinger-Moser inequality.
Existence and multiplicity results for a new $p(x)$-Kirchhoff problem
Positive ground state solutions for generalized quasilinear Schrödinger equations with critical growth
Existence of positive solution for a nonlinear elliptic equation with saddle-like potential and nonlinearity with exponential critical growth in $\mathbb{R}^{2}$
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