ABSTRACT

In this paper, by using the concentration–compactness principle of Lions for variable exponent spaces and the Mountain Pass Theorem, we obtain the existence of nontrivial solutions for a class of $\left(p_1\right(x),\dots ,p_n(x\left)\right)$-Kirchhoff-type potential systems type with critical exponent.

中文翻译：

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关键 (p1(x), ... , pn(x))-Kirchhoff 型势系统的解的存在性

摘要

在本文中，利用变指数空间的 Lions 集中紧致原理和 Mountain Pass 定理，我们得到了一类$\left(p_1\right(X),\dots ,p_n(X\left)\right)$-具有临界指数的基尔霍夫型势系统类型。