Infinitely Many Solutions to a Class of p-Laplace Equations

被引：0

作者：

Deng, Yi-Hua ^{[1
]}

机构：

[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2019年 / 35卷 / 04期

关键词：

p-Laplace equation; variational methods; infinitely many solutions; nonnegative solution;

D O I：

10.1007/s10255-019-0851-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of p-Laplace equations. Using variational methods, we prove that there are two solutions and one of these solutions is nonnegative. Using recurrence method, we prove that there are infinitely many solutions to this class of equations.

引用

页码：770 / 779

页数：10

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