Mixed boundary value problems for nonlinear elliptic systems with p-structure in polyhedral domains

被引：0

作者：

Ebmeyer, C ^{[1
]}

机构：

[1] Univ Bonn, Math Seminar, D-53115 Bonn, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2002年 / 236卷

关键词：

p-Laplacian; piecewise smooth boundary; mixed boundary value problem; difference quotient; Nikolskii space;

D O I：

10.1002/1522-2616(200203)236:1<91::AID-MANA91>3.3.CO;2-T

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The nonlinear elliptic system -Sigma(i=1)(n)partial derivative(i)F(i)(x,delu) = f(x)+Sigma(i=1)(n)partial derivative(i)f(i)(x) is investigated on a non-smooth domain. Mixed boundary value conditions are given. The left-hand side of the system has p-structure (e. g., it is the p-Laplacian and 1 < p < infinity). Global regularity results of u and \delu\(p/2) in fractional order Sobolev spaces are proven.

引用

页码：91 / 108

页数：18

共 50 条

[1] Global regularity in Nikolskij spaces for elliptic equations with p-structure on polyhedral domains
Ebmeyer, C.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E1 - E9
[2] Mixed Boundary Value Problems for Nonlinear Elliptic Systems in n-Dimensional Lipschitzian Domains
Ebmeyer, C.
[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 1999, 18 (03): : 539 - 555
[3] The nonlocal boundary value problems of nonlinear elliptic systems in unbounded domains
Mo, JQ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 1997, 86 (2-3) : 115 - 121
[4] Nonlinear elliptic problems under mixed boundary value conditions in nonsmooth domains
Ebmeyer, C
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 32 (01) : 103 - 118
[5] INTERFACE AND MIXED BOUNDARY VALUE PROBLEMS ON η-DIMENSIONAL POLYHEDRAL DOMAINS
Bacuta, Constantin
Mazzucato, Anna L.
Nistor, Victor
Zikatanov, Ludmil T.
[J]. DOCUMENTA MATHEMATICA, 2010, 15 : 687 - 745
[6] A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS
莫嘉琪
欧阳成
[J]. Acta Mathematica Scientia, 2001, (01) : 93 - 97
[7] A class of nonlocal boundary value problems of nonlinear elliptic systems in unbounded domains
Mo, JQ
Ouyang, C
[J]. ACTA MATHEMATICA SCIENTIA, 2001, 21 (01) : 93 - 97
[8] Global regularity in Sobolev spaces for elliptic problems with p-structure on bounded domains
Ebmeyer, C
[J]. Trends in Partial Differential Equations of Mathematical Physics, 2005, 61 : 81 - 89
[9] Computing singular solutions of elliptic boundary value problems in polyhedral domains using the p-FEM
Yosibash, Z
[J]. APPLIED NUMERICAL MATHEMATICS, 2000, 33 (1-4) : 71 - 93
[10] Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains
Maz'ya, VG
Rossmann, J
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2003, 83 (07): : 435 - 467

← 1 2 3 4 5 →