Positive radial solutions for a class of quasilinear boundary value problems in a ball

被引：8

作者：

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

Williams, J. L. ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

p-Laplace; Singular; Positive; Radial solutions;

D O I：

10.1016/j.na.2011.08.052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence and nonexistence of positive radial solutions for the boundary value problems {-Delta(p)u = h(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 > 1, Omega is the open unit ball in R-n, h, f : (0, infinity) -> R are allowed to be singular at 0, f is asymptotically p-linear, and lambda is a positive parameter. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1744 / 1750

页数：7

共 50 条

[21] Multiple radial solutions for a class of quasilinear elliptic problems
He, Xiaoming
APPLIED MATHEMATICS LETTERS, 2010, 23 (01) : 110 - 114
[22] Uniqueness of singular radial solutions for a class of quasilinear problems
Boureanu, Maria-Magdalena
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2009, 16 (04) : 665 - 685
[23] Positive radial solutions for Dirichlet problems in the ball
Jebelean, Petru
Precup, Radu
Rodriguez-Lopez, Jorge
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2024, 240
[24] POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY-VALUE-PROBLEMS
HABETS, P
ZANOLIN, F
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1995, 9A (02): : 273 - 286
[25] On the existence of positive solutions for a class of singular boundary value problems
Mao, AM
Luan, SX
Ding, YH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) : 57 - 72
[26] Positive solutions of a class of second order boundary value problems
Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 1997, 25 (Suppl 2): : 30 - 32
[27] POSITIVE SOLUTIONS FOR A CLASS OF NONRESONANT BOUNDARY-VALUE PROBLEMS
Zhang, Xuemei
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[28] Positive solutions for a class of singular semipositone boundary value problems
Stanek, S
MATHEMATICAL AND COMPUTER MODELLING, 2001, 33 (4-5) : 353 - 361
[29] Positive solutions for a class of singular fractional boundary value problems
Caballero, J.
Harjani, J.
Sadarangani, K.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1325 - 1332
[30] ON POSITIVE SOLUTIONS FOR A CLASS OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS
CHABROWSKI, J
TOHOKU MATHEMATICAL JOURNAL, 1986, 38 (03) : 343 - 350

← 1 2 3 4 5 →