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arXiv · 2011.00468

Existence of solution for a class of variational inequality in whole $\mathbb{R}^N$ with critical growth: The local Mountain pass case

Claudianor O. Alves·Luciano M. Barros·César E. Torres Ledesma
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Abstract

In this paper we study the existence of solution for a class of variational inequality in whole $\mathbb{R}^N$ where the nonlinearity has a critical growth for $N \geq 2$. By combining a penalization scheme found in del Pino and Felmer [18] with a penalization method due to Bensoussan and Lions [9], we improve a recent result by Alves, Barros and Torres [1].

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Claudianor O. Alves, Luciano M. Barros, César E. Torres Ledesma. 2020-11-01. Existence of solution for a class of variational inequality in whole $\mathbb{R}^N$ with critical growth: The local Mountain pass case. https://arxiv.org/abs/2011.00468

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