THREE SOLUTIONS FOR A SINGULAR QUASILINEAR ELLIPTIC PROBLEM

被引：7

作者：

Faraci, Francesca ^{[1
]}

Smyrlis, George ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy

[2] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2019年 / 62卷 / 01期

关键词：

singular quasilinear elliptic problem; variational methods; three smooth solutions; POSITIVE SOLUTIONS; LOCAL MINIMIZERS; CRITICAL-POINTS; MULTIPLICITY; EXISTENCE; PRINCIPLE;

D O I：

10.1017/S0013091518000111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we deal with a quasilinear problem involving a singular term. By combining truncation techniques with variational methods, we prove the existence of three weak solutions. As far as we know, this is the first contribution in this direction in the high-dimensional case.

引用

页码：179 / 196

页数：18