The Existence and Multiplicity of Positive Solutions of Generalized p-Laplacian Boundary Value Problems

BAI Dingyong; ZUO Minxian

您当前的位置：

首页 >

文章列表页 >

The Existence and Multiplicity of Positive Solutions of Generalized p-Laplacian Boundary Value Problems

更新时间：2023-12-11

- The Existence and Multiplicity of Positive Solutions of Generalized p-Laplacian Boundary Value Problems
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 52, Issue 1, Pages: 40-44(2013)
- 作者机构：
  
  广州大学数学与信息科学学院∥数学与交叉科学广东普通高校重点实验室（广州大学）,广东,广州,510006
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013，
  
  Published Online：25 January 2013，
扫描看全文
BAI Dingyong, ZUO Minxian. The Existence and Multiplicity of Positive Solutions of Generalized p-Laplacian Boundary Value Problems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(1):40-44(2013)
DOI：

BAI Dingyong, ZUO Minxian. The Existence and Multiplicity of Positive Solutions of Generalized p-Laplacian Boundary Value Problems. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 52(1):40-44(2013) DOI：

摘要

利用锥上的不动点理论讨论一类含参广义

-Laplace 边值问题正解的存在性与多解性，给出了参数λ的显式开区间。已有文献在多解性研究中，通常要求非线性项在正半轴恒正。本文改进这一基本假设条件，允许非线性项在正半轴的某些子集上恒为零。

Abstract

A generalized

-Laplacian boundary value problem with a parameter is concerned. By using the fixed-point theorem in cones

some results of existence and multiplicity of positive solutions for the problem are established with the parameter belonging to corresponding explicit intervals. In the existed literatures about multiplicity of positive solutions

the nonlinear terms are usually required to be positive for all positive real numbers. This condition is relaxed in the present paper

more precisely

the nonlinear terms can vanish on some subset.

关键词

广义p-Laplace 边值问题参数正解锥

Keywords

the generalizedp-Laplacian boundary value problemsparameterpositive solutioncone

references

Views

373

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Existence of negative convex solutions for a discrete mixed boundary value problem with

p

-Laplacian operator

The generalization of Hermite-Hadamard type fractional integrals inequalities for preinvex functions

The Existence of Non-constant Positive Solution of A Prey-predator Systemwith Crossdiffusion

The Existence and Multiplicity of Positive Solutions for a Class of Fourth Order Boundary Value Problem

Positive solutions of discrete Φ-Laplacian problems

Related Author

ZHAO Yali

CHEN Tianlan

SUN Wenbing

ZHENG Linghong

HOU Xiumei

王云杰

朱

江

Related Institution

College of Mathematics and Statistics，Northwest Normal University

School of Science, Shaoyang University

School of Mathematics and Computational Science, Sun Yatsen University

徐州师范大学科文学院，苏

2徐州师范大学数学科学学院，苏

Postal code：510275
Tel：020-84112585，84113223 Email：xuebaozr@mail.sysu.edu.cn
Technical support is provided by Beijing Founder electronics co., LTD 京ICP备09064830号-19 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰