Positive Solutions of a Kind of Equations Related to the Laplacian and p-Laplacian

被引：3

作者：

Zhang, Fangfang ^{[1
]}

Liang, Zhanping ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2014年 / 2014卷

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1155/2014/364010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Positive solutions of a kind of equations related to the Laplacian and p-Laplacian on a bounded domain in R-N with N >= 1 are studied by using variational method. A sufficient condition of the existence of positive solutions is characterized by the eigenvalues of linear and another nonlinear eigenvalue problems.

引用

页数：5

共 50 条

[41] POSITIVE SOLUTIONS FOR p-LAPLACIAN EQUATIONS OF KIRCHHOFF TYPE PROBLEM WITH A PARAMETER
Zhang, Qi
Huang, Jianping
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[42] On positive solutions to equations involving the one-dimensional p-Laplacian
Ma, Ruyun
Lu, Yanqiong
Abubaker, Ahmed Omer Mohammed
[J]. BOUNDARY VALUE PROBLEMS, 2013,
[43] On positive solutions to equations involving the one-dimensional p-Laplacian
Ruyun Ma
Yanqiong Lu
Ahmed Omer Mohammed Abubaker
[J]. Boundary Value Problems, 2013
[44] Multiple positive solutions to critical p-Laplacian equations with vanishing potential
Lun Guo
Qi Li
[J]. Zeitschrift für angewandte Mathematik und Physik, 2021, 72
[45] Multiple positive solutions to critical p-Laplacian equations with vanishing potential
Guo, Lun
Li, Qi
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (04):
[46] Positive periodic solutions for p-Laplacian neutral differential equations with a singularity
Zhiyan Li
Fanchao Kong
[J]. Boundary Value Problems, 2017
[47] Isolated singularities of positive solutions of p-Laplacian type equations in Rd
Fraas, Martin
Pinchover, Yehuda
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (03) : 1097 - 1119
[48] A numerical algorithm for finding positive solutions for classes of p-Laplacian equations
Afrouzi, G. A.
Mahdavi, S.
Naghizadeh, Z.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 1126 - 1130
[49] On symmetric positive homoclinic solutions of semilinear p-Laplacian differential equations
Tersian, Stepan
[J]. BOUNDARY VALUE PROBLEMS, 2012,
[50] On the existence of positive solutions of the p-Laplacian dynamic equations on time scales
Dogan, Abdulkadir
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (12) : 4385 - 4399

← 1 2 3 4 5 →