Discontinuous irregular oblique derivative problems for nonlinear elliptic equations of second order

被引：0

作者：

Wen, Guochun ^{[1
]}

Xu, Zuoliang ^{[2
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2008年 / 27卷 / 03期

基金：

中国博士后科学基金;

关键词：

nonlinear elliptic equaitons; discontinuous irregular oblique derivative problems; complex analytic method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the discontinuous irrregular oblique derivative problems (or discontinuous Poincare boundary value problems) for nonlinear elliptic equaitons of second order in multiply connected domains are discussed by using a comples analytic method. Firstly the uniqueness of solutions for such boundary value problems is proved and a priori estimates of their solutions are given, and then by the Leray-Schauder theorem, the existence of solutions of the above problems is verified. As a special case the resutl about the continuous irregular oblique derivative problem for the nonliear equations is derived.

引用

页码：301 / 314

页数：14

共 50 条

[11] Initial-irregular oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Wen, GC
Zou, BT
RECENT DEVELOPMENTS IN COMPLEX ANALYSIS AND COMPUTER ALGEBRA, 1999, 4 : 345 - 372
[12] Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients
闻国椿
Science China Mathematics, 1999, (07) : 681 - 690
[13] Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients
闻国椿
ScienceinChina,SerA., 1999, Ser.A.1999 (07) : 681 - 690
[14] Initial-irregular oblique derivative problems for nonlinear parabolic complex equations of second order with measurable coefficients
Wen, GC
Zou, BT
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 39 (08) : 937 - 953
[15] Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients
Wen, GC
SCIENCE IN CHINA SERIES A-MATHEMATICS, 1999, 42 (07): : 681 - 690
[16] OBLIQUE DERIVATIVE PROBLEMS FOR SECOND ORDER NONLINEAR MIXED EQUATIONS WITH DEGENERATE LINE
闻国椿
Acta Mathematica Scientia, 2008, (03) : 604 - 612
[17] Oblique derivative problems for second order nonlinear mixed equations with degenerate line
Wen Guochun
ACTA MATHEMATICA SCIENTIA, 2008, 28 (03) : 604 - 612
[18] On an oblique derivative problem of finite index for nonlinear elliptic discontinuous equations in the plane
Giuffrè, S
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2003, 63 (04): : 611 - 621
[19] Oblique derivative problems for linear mixed equations of second order
Guochun Wen
Science in China Series A: Mathematics, 1998, 41 : 346 - 356
[20] Oblique derivative problems for linear mixed equations of second order
Wen, GC
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1998, 41 (04): : 346 - 356

← 1 2 3 4 5 →