Mixed Boundary Value Problems for Nonlinear Elliptic Systems in n-Dimensional Lipschitzian Domains

被引：0

作者：

Ebmeyer, C. ^{[1
]}

机构：

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

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 03期

关键词：

Mixed boundary value problems; piecewise smooth boundaries; Nikolskii spaces;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let u : Omega -> R-N be the solution of the nonlinear elliptic system - Sigma(n)(i=1)partial derivative F-i(i)(x,del u) = f(x) + Sigma(n)(i=1)partial derivative(i)f(i)(x) where Omega subset of R-n is a bounded domain with a piecewise smooth boundary (e. g., Omega is a polyhedron). It is assumed that a mixed boundary value condition is given. Global regularity results in Sobolev and in Nikolskii spaces are proven, in particular W-s,W-2(Omega)](N)- regu1arity (s <3/2) of IL.

引用

页码：539 / 555

页数：17

共 17 条

[1]

Adams R. A., 1975, SOBOLEV SPACES

[2] ON MIXED BOUNDARY-VALUE PROBLEMS OF DIRICHLET OBLIQUE-DERIVATIVE TYPE IN PLANE DOMAINS WITH PIECEWISE DIFFERENTIABLE BOUNDARY [J].