One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign

被引：11

作者：

Kaufmann, Uriel ^{[1
]}

Medri, Ivan ^{[1
]}

机构：

[1] Univ Nacl Cordoba, FaMAF, RA-5000 Cordoba, Argentina

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2016年 / 5卷 / 03期

关键词：

One-dimensional singular problems; indefinite nonlinearities; p-Laplacian; positive solutions; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; CHANGING NONLINEARITIES; ELLIPTIC PROBLEMS; EXISTENCE; PRINCIPLES; OPERATORS; THEOREMS; EQUATION;

D O I：

10.1515/anona-2015-0116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a bounded open interval, let p > 1 and y > 0, and let m : Omega -> IR be a function that may change sign in Omega. In this article we study the existence and nonexistence of positive solutions for one-dimensional singular problems of the form (vertical bar u'vertical bar(p-2)u')' = m(x)u(-gamma) in Omega, u = 0 on partial derivative Omega. As a consequence we also derive existence results for other related nonlinearities.

引用

页码：251 / 259

页数：9

共 50 条

[1] On the one-dimensional p-Laplacian with a singular nonlinearity
Zhou, Wenshu
Qin, Xulong
Xu, Guokai
Wei, Xiaodan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (10) : 3994 - 4005
[2] On one-dimensional superlinear indefinite problems involving the φ-Laplacian
Kaufmann, Uriel
Milne, Leandro
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
[3] On the sign-changing solutions for strong singular one-dimensional p-Laplacian problems with p-superlinearity
Li, Hong-Xu
Zhang, Li-Li
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2012, 81 (3-4): : 271 - 287
[4] Existence theorems for the one-dimensional singular p -: Laplacian equation with sign changing nonlinearities
Agarwal, RP
Lü, HS
O'Regan, D
APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (01) : 15 - 38
[5] On positive solutions to equations involving the one-dimensional p-Laplacian
Ma, Ruyun
Lu, Yanqiong
Abubaker, Ahmed Omer Mohammed
BOUNDARY VALUE PROBLEMS, 2013,
[6] Existence results of sign-changing solutions for singular one-dimensional p-Laplacian problems
Lee, Yong-Hoon
Sim, Inbo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (05) : 1195 - 1209
[7] Positive solutions for one-dimensional p-Laplacian boundary value problems with sign changing nonlinearity
Ji, Dehong
Tian, Yu
Ge, Weigao
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5406 - 5416
[8] POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL SINGULAR SUPERLINEAR p-LAPLACIAN PROBLEM
Chu, K. D.
Hai, D. D.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (01) : 241 - 252
[9] Bifurcation of sign-changing solutions for one-dimensional p-Laplacian with a strong singular weight: p-superlinear at ∞
Kajikiya, Ryuji
Lee, Yong-Hoon
Sim, Inbo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 5833 - 5843
[10] Bifurcation of sign-changing solutions for one-dimensional p-Laplacian with a strong singular weight; p-sublinear at ∞
Kajikiya, Ryuji
Lee, Yong-Hoon
Sim, Inbo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (3-4) : 1235 - 1249

← 1 2 3 4 5 →