Uniqueness for a class of singular quasilinear Dirichlet problem

被引：4

作者：

Chu, K. D. ^{[1
]}

Hai, D. D. ^{[2
]}

Shivaji, R. ^{[3
]}

机构：

[1] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[3] Univ North Cartolina Greensboro, Dept Math & Stat, Greensboro, NC 27402 USA

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 106卷

关键词：

Singular p-Laplacian; Uniqueness; Positive solutions; NONLINEAR ELLIPTIC-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; PARAMETER; NUMBER;

D O I：

10.1016/j.aml.2020.106306

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness of positive solutions for the problem -Delta(p)u = lambda f(u)/u(alpha) in Omega, u = 0 on partial derivative Omega where p > 1+ alpha, alpha is an element of (0, 1), Omega is bounded domain in R(n )with smooth boundary partial derivative Omega f [0, infinity) -> (0, infinity) is nondecreasing with f(z)/z(alpha) decreasing for z large, and lambda is a large parameter. (C) 2020 Elsevier Ltd. All rights reserved.

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页数：6

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