Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem

被引：11

作者：

Wang, Minmin ^{[1
]}

Feng, Meiqiang ^{[1
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2017年

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

denumerably many positive solutions; infinitely many singularities; Neumann impulsive boundary conditions; cone expansion and compression; MONOTONE METHOD; P-LAPLACIAN; EXISTENCE; MULTIPLICITY;

D O I：

10.1186/s13661-017-0784-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a fixed point theorem of cone expansion and compression of norm type and a new method to deal with the impulsive term, we prove that the second-order singular impulsive Neumann boundary value problem has denumerably many positive solutions. Noticing that M > 0, our main results improve many previous results.

引用

页数：12

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