UNIQUENESS OF POSITIVE RADIAL SOLUTIONS FOR A CLASS OF INFINITE SEMIPOSITONE p-LAPLACIAN PROBLEMS IN A BALL

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 Carolina Greensboro, Dept Math & Stat, Greensboro, NC 27402 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 05期

关键词：

Uniqueness; infinite semipositone; p-Laplacian; positive solutions; NONLINEAR ELLIPTIC-EQUATIONS; EXISTENCE; PARAMETER; THEOREM; NUMBER;

D O I：

10.1090/proc/14886

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove uniqueness of positive radial solutions to the p-Laplacian problem {-Delta(p)u = lambda f(u) in Omega, u = 0 on partial derivative Omega where Delta(p)u = div(vertical bar del u vertical bar(p-2)del u),p >= 2, Omega is the open unit ball in R-N, N > 1, f : (0, infinity) -> R is concave, p-sublinear at infinity with infinite semipositone structure at 0, and lambda is a large parameter.

引用

页码：2059 / 2067

页数：9

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