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.
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页数：8
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