Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains (Q868793)
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scientific article; zbMATH DE number 5129657
| Language | Label | Description | Also known as |
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| English | Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains |
scientific article; zbMATH DE number 5129657 |
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Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains (English)
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26 February 2007
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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.
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nonlinear Riemann-Hilbert problems
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fundamental group
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unimodular functions
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reflection principle
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topological degree
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