Abstract
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 \({exp(\alpha_0s^2)}\) as \({|s| \rightarrow \infty}\), for some \({\alpha_0 > 0}\). In order to obtain our existence result we used minimax techniques combined with the Trudinger-Moser inequality.
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The authors were supported by INCT-MAT, PROCAD, CNPq/Brazil and CNPQ/PQ.
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Figueiredo, G.M., Severo, U.B. Ground State Solution for a Kirchhoff Problem with Exponential Critical Growth. Milan J. Math. 84, 23–39 (2016). https://doi.org/10.1007/s00032-015-0248-8
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DOI: https://doi.org/10.1007/s00032-015-0248-8