| 带测度项的非线性椭圆型方程的弱解在Orlicz-Sobolev空间中的存在性 |
| |
| 引用本文： | 董鸽,魏文展.带测度项的非线性椭圆型方程的弱解在Orlicz-Sobolev空间中的存在性[J].上海电机学院学报,2008,11(3). |
| |
| 作者姓名： | 董鸽 魏文展 |
| |
| 作者单位： | 1. 上海电机学院,应用数理研究所,上海,200240
2. 广西南宁经贸职业技术学院,南宁,530021 |
| |
| 摘 要： | 证明了一类右端带有界Radon测度的非线性椭圆型方程Dirichlet问题弱解在一般Or-licz-Sobolev空间W10LM(Ω)中的存在性。利用N-函数的特性,解决当Leray-Lions算子的系数满足一定增长条件时,Dirichlet问题的弱解在某些Orlicz-Sobolev空间中存在。
|
| 关 键 词： | Orlicz-Sobolev空间 非线性椭圆型方程 Radon测度 |
The Existence of Weak Solution for Nonlinear Elliptic Equations with Measure Data in Orlicz-Sobolev Spaces |
| |
| DONG Ge,WEI Wenzhan.The Existence of Weak Solution for Nonlinear Elliptic Equations with Measure Data in Orlicz-Sobolev Spaces[J].JOurnal of Shanghai Dianji University,2008,11(3). |
| |
| Authors: | DONG Ge WEI Wenzhan |
| |
| Affiliation: | DONG Ge1; WEI Wenzhan2(1.Institute of Applied Mathematics and Physics; Shanghai Dianji University; Shanghai 200240; China; 2.Guangxi Economic and Trade Polytechnic; Nanning 530021; China); |
| |
| Abstract: | In this paper,the authors prove existence results for solutions of nonlinear elliptic Dirichlet problem with bounded Radon measure in a class of Orlicz-Sobolev spaces W~1_0L_M(Ω) with general N-function M.By use of the property of N-funciton,the authors solve the problem on the existence of weak solution for the Dirichlet prolem when the coefficient of Leray-Lions operator satisfies the given growth condition. |
| |
| Keywords: | Orlicz-Sobolev spaces nonlinear elliptic equation Radon measure |
| 本文献已被 维普 万方数据 等数据库收录！ |
