ISSN:0278-1077    

DOI:10.1080/17476939208814555

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939208814556

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Für ein elliptisches Randwertproblem wird cine äquivalente Randintegralgleichung bestimmt und mit deren Hilfe wird der Fredholmindex des Randwertproblems bestimmt.

ISSN:0278-1077    

DOI:10.1080/17476939208814557

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

In der vorliegenden Arbeit wird ein Integraloperator eingeführt, welcher holomorphc Funktionen einer komplexen Veränderlichen in Lösungen elliptischer Differentialgleichungen transformicrt. Die Lösungsdarstellungen von Bergman, Eichler und Le Roux erweisen sich als Spezialfälle des neuen Operators. Ein neuer Soezialfall dieses Integraloperators wird aui Existenz unterrsucht. Weitcrs wird ein Transformationsgeselz für Kerne bei einandcr zugcordneten Differentialgleichungen hergeleitet. F¨r gewisse Differentialgleichuzgen werdm Kerne in geschlossener from angegeben.

ISSN:0278-1077    

DOI:10.1080/17476939208814558

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

The properties of first order overdetermined elliptic system inRn+1investigated. In particular the factorization formula through holomorphic function of one variable derived. The Riemam-Hilbert type boundary value problem as well as the Cauchy type problems discussed. The particular cases of so kind systems in degcneratcd boundary value problems for multidimensional clliptic systems are arized.

ISSN:0278-1077    

DOI:10.1080/17476939208814559

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939208814560

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

In this paper Clifford- or spinor-valued differential forms are studied. It is shown that it is possible to define monogenic differenlial forms as solutions of Spin-invariant systems of differential equations in such a way that such monogenic forms, defined on a domain ω⊂Rm, reflect faithfully the topology of ω and that the Cauchy theorem holds Tor them.

ISSN:0278-1077    

DOI:10.1080/17476939208814561

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

We denote by Fρthe family of all functions φ univalent in the annulus R ={p<|w|<1} mapping R onto the unit disk minus some continuum E with 0 ∈E and satisfying |φ(w)|=1 on |w|=1. The class Fpwas introduced by Gaier [3] and is important in conformal mapping theory (oscillation method). Here we give estimates for the coefficients of the Laurent expansions of φ(w) (which prove to be sharper than the known results of K¨hnau [7] for small ρ) and of logφ(w)/w for starlike φ. In this case the estimatesare sharp.

ISSN:0278-1077    

DOI:10.1080/17476939208814562

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

In this paper we continue the study of the elliptic differential operators with constant coefticientson two-dimensional domains, z=x+iy, in a Möbius or projectively invariant setting initiated in |5|. In particular we propose to study these operators in the general context of sheaf cohomology. They have a global meaning on any Riemann surfaceM, more precisely they are invariants of the global projective structure onM.

ISSN:0278-1077    

DOI:10.1080/17476939208814563

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor

摘要:

Letand denote by ωn(Z0,δ) the set of polynomialsPof degree ≦nn for which

ISSN:0278-1077    

DOI:10.1080/17476939208814564

出版商:Gordon and Breach Science Publishers    

年代:1992

数据来源: Taylor