论文标题
非绑定域中非线性广义 - 柯chhoff类型潜在系统的多个解决方案
Multiple Solutions for Nonlinear Generalized-Kirchhoff type potential Systems in Unbounded Domains
论文作者
论文摘要
在本文中,我们考虑了一类无限域中的一类准固定式kirchhoff型潜在系统,该域涉及一般可变指数椭圆运算符。在某些关于非线性的适当条件下,我们为该问题建立了至少三个弱解决方案。我们主要结果的证明使用了变分方法和Bonanno和Marano的关键定理。
In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems in unbounded domains, which involves a general variable exponent elliptic operator. Under some suitable conditions on the nonlinearities, we establish existence of at least three weak solutions for the problem. The proof of our main result uses variational methods and the critical theorem of Bonanno and Marano.