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带有零边界条件和非线性边界条件的p阶拟线性椭圆方程解的存在性

发表时间:2010-07-15  浏览量:1636  下载量:452
全部作者: 张宏艳,赵培浩
作者单位: 兰州大学数学与统计学院
摘 要: 首先研究了一类带有零边界条件的p阶拟线性椭圆方程解的问题,证明该类方程有2个正解。其次考虑了带有非线性边界条件的p阶拟线性椭圆方程解的问题,证明该类方程至少有一个非平凡弱解。
关 键 词: 泛函分析;拟线形椭圆方程;临界指数;多重解;非线性边界条件;非平凡弱解
Title: The existence of solution for p�Laplacian quasilinear elliptic equation with nonlinear boundary conditions and Dirichlet boundary condition
Author: ZHANG Hongyan, ZHAO Peihao
Organization: School of Mathematics and Statistics, Lanzhou University
Abstract: Firstly, the paper considers the existence of solution for p�Laplacian equation with a Dirichlet boundary conditions, and shows that this problem has two positive solutions. Secondly, it considers the existence of solution for p�Laplacian equation with nonlinear boundary conditions, and shows that this problem has at least one nontrivial weak solution.
Key words: functional analysis; quasilinear elliptic equation; critical exponent; the multiple solutions; nonlinear boundary condition; nontrivial weak solution
发表期数: 2010年7月第13期
引用格式: 张宏艳,赵培浩. 带有零边界条件和非线性边界条件的p阶拟线性椭圆方程解的存在性[J]. 中国科技论文在线精品论文,2010,3(13):1395-1404.
 
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