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

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