论文标题

在整个$ \ mathbb {r}^n $中存在一类变异不平等的解决方案,并具有关键的增长:当地的山地通行证案例

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

论文作者

Alves, Claudianor O., Barros, Luciano M., Ledesma, César E. Torres

论文摘要

在本文中,我们研究了整个$ \ mathbb {r}^n $中一类变异不平等的解决方案,其中非线性对于$ n \ geq 2 $具有关键的增长。通过将Del Pino和Felmer [18]中发现的惩罚方案与由于Bensoussan和Lions [9]引起的惩罚方法的结合,我们改善了Alves,Barros和Torres [1]的最新结果。

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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