应用数学2012,Vol.25Issue(2):447-453,7.
临界情形下拟线性椭圆方程Nemann问题正解的多重性
Multiplicity of Positive Solutions of Quasilinear Elliptic Equations Involving the Critical Situation for the Neumann Problem
摘要
Abstract
In this paper,we study the multiplicity of positive solutions for some nonlinear elliptic equation.Using the decomposition of the Nehari 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Key words
Nehari manifold/positive solution/Critical exponent/Neumann problem分类
数理科学引用本文复制引用
赵俊华,汪全珍,李健平..临界情形下拟线性椭圆方程Nemann问题正解的多重性[J].应用数学,2012,25(2):447-453,7.基金项目
Supported by the NNSF of China (10801001),the NSF of Anhui Province (11040606M02) and the 211 Project of Anhui University(KJTD002B,KJJQ005) (10801001)