Positive radial solutions for a class of (p, q) Laplacian in a ball

被引：2

作者：

Hai, D. D. ^{[1
]}

Shivaji, R. ^{[2
]}

Wang, X. ^{[3
]}

机构：

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

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

[3] Jiangsu Univ, Inst Appl Syst Anal, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

POSITIVITY | 2023年 / 27卷 / 01期

关键词：

(p; q); Laplacian; Infinite semipositone; Positive solutions; EXISTENCE; EQUATION;

D O I：

10.1007/s11117-022-00959-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页数：8

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