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Geometrical properties of nonlinear maps and their application, Part II: Nonlinear Riemann-Hilbert problems with closed boundary data for multiply connected domains
J. Math. Anal. Appl. 329, 425-444 (2007)
We use the degree of quasiruled Fredholm maps on quasicylindrical domains developed in Part I to prove the existence of at least two homotopically different solutions of classical nonlinear Riemann-Hilbert problems for multiply connected domains.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Nonlinear Riemann-Hilbert problems; Fundamental group; Unimodular functions; Reflection principle; Topological degree
ISSN (print) / ISBN 0022-247X
Quellenangaben Volume: 329, Issue: 1, Pages: 425-444
Publishing Place San Diego, CA
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)