The Neumann boundary value problem of higher order quasilinear elliptic equation

被引：0
|
作者：
Fu, Yongqiang [1 ]
Yu, Mei [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 12期
关键词：
L-p(x) (Omega) space; W-m; W-p(x) (Omega) space; Embedding; EMBEDDING-THEOREMS;
D O I：
10.1016/j.na.2010.02.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the generalized solution to the Neumann boundary value problem of higher order quasilinear elliptic equation: {Sigma (-1)(|alpha|) D(alpha)A(alpha) (x, xi(m) (u)) = f (x, u), x is an element of Omega, 1 <=vertical bar alpha vertical bar <= m B(x, xi(m) (u)) .nu = g(x, u), x is an element of partial derivative Omega. We show that there exists at least one non-trivial solution for the above problem in W-m,W-p(x) (Omega). (C) 2010 Elsevier Ltd. All rights reserved.
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页码：4488 / 4499
页数：12
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