Multiplicity of Solution for a Quasilinear Equation with Singular Nonlinearity

被引：13

作者：

Bal, Kaushik ^{[1
]}

Garain, Prashanta ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 03期

关键词：

Quasilinear problem; singular nonlinearity; a priori estimates; topological degree; STRONG COMPARISON PRINCIPLE; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; REGULARITY; EXISTENCE; SOBOLEV; SYMMETRY; MAXIMUM;

D O I：

10.1007/s00009-020-01515-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an open, bounded domain Omega in R-N which is strictly convex with smooth boundary, we show that there exists a Lambda > 0 such that for 0 < lambda < Lambda, the quasilinear singular problem admits at least two distinct solutions u and v in W provided delta = 1, 2N+2/N+2 < p < N and p - 1 < q < N-p/N-p - 1.

引用

页数：20

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