Existence of Multiple Positive Solutions for a p-Kirchhoff Problem with Singular Nonlinearity

被引：0
|
作者：
Li, Yuanxiao [1 ]
机构：
[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 02期
关键词：
p-Kirchhoff-type equation; singularity problem; positive solutions; variational method; NONTRIVIAL SOLUTIONS; EQUATION;
D O I：
10.1007/s00009-022-01997-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the following p-Kirchhoff-type elliptic problem: {-M(integral(Omega)vertical bar del u|(p)dx)Delta(p)u=lambda f(x)/u gamma+g(x)uq-1/|x|s in Omega, on partial derivative Omega, u = 0 where lambda and gamma are positive constants. Under some appropriate conditions on the singularity and the coefficients, the existence and multiplicity of positive solutions to this problem are obtained. Our approaches are based on the variational method and perturbation method.
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