Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains
type: Item
instance of: scholarly article
title: Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains
zbMATH Open document ID: 1108.47053
author: Messoud Efendiev
author: W. L. Wendland
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-02-26T00:00:00Z
review text: The topological degree of quasiruled Fredholm maps on quasicylindrical domains developed by authors in Part I [J.~Math.\ Anal.\ Appl.\ 329, No.~1, 383--391 (2007; Zbl 1108.47052), see the preceding review] is used to prove the existence of at least two homotopically different solutions of classical nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains.
reviewed by: In-Sook Kim
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 35Q15
Mathematics Subject Classification ID: 30C20
zbMATH DE Number: 5129657
zbMATH Keywords: nonlinear Riemann-Hilbert problems
zbMATH Keywords: fundamental group
zbMATH Keywords: unimodular functions
zbMATH Keywords: reflection principle
zbMATH Keywords: topological degree
MaRDI profile type: Publication
full work available at URL: j.jmaa.2006.06.018
OpenAlex ID: W2077148544
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DOI: 10.1016/J.JMAA.2006.06.018
description: scientific article; zbMATH DE number 5129657