一类含p-Laplacian非线性方程的可解性
郑颖慧;吕海燕;
摘要(Abstract)：
利用环绕定理来研究一类含p-Laplacian非线性方程的可解性.
关键词(KeyWords)： 环绕定理;次临界增长;特征值.
基金项目(Foundation): 河南省教育厅自然科学研究计划项目(2011A110001)
作者(Authors): 郑颖慧;吕海燕;
参考文献(References)：
- [1]Le,A..Eigenvalue problems for the p-Laplacian[J].Nonlinear Analysis,64(2006):1057-1099.
- [2]Szulkin,A.and Willem,M..Eigenvalue problems withindefinite weight[J].Studia Math.,135(1999):191-201.
- [3]Rabinowitz,P.H..Some critical point theorems and ap-plications to semilinear elliptic partial differential equa-tions,Ann.Scuola Norm Sup.Pisa,Classe Scienza,4(1978):215-223.
- [4]Azorero,J.G.and Alonso,I.P..Some results aboutthe existence of a second positive solution in a quasilinearcritical problem[J].Indiana Univ.Math.J.,43(1994):941-957.
- [5]Xianling Fan,Zhancun Li.Linking and existence resultsfor perturbations of the p-Laplacian[J].Nonlinear A-nalysis 42(2000):1413-1420.