Constant Sign and Sign-Changing Solutions for Quasilinear Elliptic Equations with Neumann Boundary Condition

被引：0

作者：

Barletta, Giuseppina ^{[1
]}

Candito, Pasquale ^{[1
]}

Motreanu, Dumitru ^{[2
]}

机构：

[1] Univ Mediterranea Reggio Calabria, MECMAT, Dipartimento Meccan & Mat, I-89100 Reggio Di Calabria, Italy

[2] Univ Perpignan, Dept Math, F-66860 Perpignan, France

来源：

JOURNAL OF CONVEX ANALYSIS | 2014年 / 21卷 / 01期

关键词：

Quasilinear elliptic equations; sub-supersolution; critical point; Neumann problem; constant sign solutions; sign-changing solutions; P-LAPLACIAN; MULTIPLE SOLUTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Through variational methods, sub-supersolution and truncation techniques we prove the existence of three nontrivial solutions for a quasilinear elliptic equation with Neumann boundary condition. We provide sign information for each of these solutions: two of them are of opposite constant sign and the third one is sign changing.

引用

页码：53 / 66

页数：14

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