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

共 50 条

[11] Existence of positive solutions for a class of (p (x), q (x))-Laplacian systems
Guefaifia, Rafik
Boulaaras, Salah
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2018, 67 (01) : 93 - 103
[12] Existence of positive radial solutions for a superlinear semipositone p-Laplacian problem on the exterior of a ball
Morris, Quinn
Shivaji, Ratnasingham
Sim, Inbo
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2018, 148 (02) : 409 - 428
[13] EXISTENCE OF POSITIVE RADIAL SOLUTIONS TO A p-LAPLACIAN KIRCHHOFF TYPE PROBLEM ON THE EXTERIOR OF A BALL
Graef, John R.
Hebboul, Doudja
Moussaoui, Toufik
OPUSCULA MATHEMATICA, 2023, 43 (01) : 47 - 66
[14] Analysis of positive radial solutions for singular superlinear p-Laplacian systems on the exterior of a ball
Son, Byungjae
Wang, Peiyong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 192
[15] Positive radial solutions for p-Laplacian systems
O'Regan, Donal
Wang, Haiyan
AEQUATIONES MATHEMATICAE, 2008, 75 (1-2) : 43 - 50
[16] Positive radial solutions for p-Laplacian systems
Donal O’Regan
Haiyan Wang
Aequationes mathematicae, 2008, 75 : 43 - 50
[17] Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in a ball
Cao, Linfen
Fan, Linlin
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (04) : 667 - 679
[18] EXISTENCE AND MULTIPLICITY OF POSITIVE WEAK SOLUTIONS FOR A NEW CLASS OF (P; Q)-LAPLACIAN SYSTEMS
Guefaifia, Rafik
Boulaaras, Salah
Zuo, Jiabin
Agarwal, Praveen
MISKOLC MATHEMATICAL NOTES, 2020, 21 (02) : 861 - 872
[19] Positive radial solutions to classes of p-Laplacian systems on the exterior of a ball with nonlinear boundary conditions
Son, Byungjae
Wang, Peiyong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 214
[20] Nonexistence of radial positive solutions for a class of nonpositone problems in a ball
Hakimi, Said
Chahi, Hajar
MONATSHEFTE FUR MATHEMATIK, 2024, : 885 - 891

← 1 2 3 4 5 →