摘要
本文研究带不确定次线性非线性项的p-Laplacian椭圆的Dirichlet问题-Δp u=a(x)us+λb(x)ut在有界区域ΩRN(N≥3)上解的存在性和多重性.具体地说,是利用上下解的方法来得到第一个解的存在性,然后利用放松的山路定理来得到第二个解的存在性.
In this paper,we study the existence and muitiplicity of p-Laplacian elliptic problems -△p u=a（x）u＋λ（x）u＇ on bounded domainsΩ RN （N ≥ 3） with indefinite sublinear nonlin- earities under Dirichlet boundary conditions. That is,we super solution,and then the second solution is obtained Theorem.
出处
《纺织高校基础科学学报》
CAS
2013年第4期458-462,共5页
Basic Sciences Journal of Textile Universities
基金
Supported by the National Natural Science Foundation of China(11001221)
Natural Science Foundation Research Project of Shaanxi Province(2012JM1014)
NPU Foundation for Fundamental Research(JC20110271)
关键词
椭圆问题
临界指数
不确定次线性非线性项
存在性
多样性
elliptic problem
critical exponent
indefinite sublinear nonlinearity
existence
multi-plicity
