临界情形下拟线性椭圆方程Nemann问题正解的多重性(英文)  

Multiplicity of Positive Solutions of Quasilinear Elliptic Equations Involving the Critical Situation for the Neumann Problem

作　　者：赵俊华[1] 汪全珍[1] 李健平[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《应用数学》2012年第2期447-453,共7页Mathematica Applicata

基　　金：Supported by the NNSF of China(10801001);the NSF of Anhui Province(11040606M02);the 211 Project of Anhui University(KJTD002B,KJJQ005)

摘　　要：本文讨论某个非线性椭圆方程的Neumann问题在临界情形下正解的多重性.通过Nehari流形的分解,我们证明该方程至少有两个不同的正解.In this paper,we study the multiplicity of positive solutions for some nonlinear elliptic e- quation. Using the decomposition of the Neilari manifold,we prove that the equation has at least two positive solutions.

关 键 词：NEHARI流形 正解 临界指数 NEUMANN问题 

分 类 号：O175.25[理学—数学]