The Existence of Nontrivial Solutions to a Class of Quasilinear Equations

被引：3

作者：

Jia, Xiaoyao ^{[1
]}

Lou, Zhenluo ^{[1
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, 263 Kai Yuan Rd, Luoyang 471023, Henan, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

MULTIPLE SOLUTIONS; POSITIVE SOLUTIONS;

D O I：

10.1155/2021/9986047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following quasilinear equation: -div (phi vertical bar del u vertical bar del u)+phi vertical bar u vertical bar)u = f(u) in R-N, where phi is an element of C-1 (R+, R+) and Phi(t) = integral(t)(0)s phi(vertical bar s vertical bar)ds. In the Orlicz-Sobolev space, by variational methods and a minimax theorem, we prove the equation has a nontrivial solution.

引用

页数：10

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