Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data
KeywordsUniversal covering theorem, modular functions, topological degree, fundamental group, nonlinear Riemann-Hilbert problems
AbstractIn this paper, for nonlinear Riemann–Hilbert problems in doubly connected domains with smooth as well as Lipschitz continuous boundary data, existence of at least two topologically different solutions is established. The main tools are the topological degree of quasi-ruled Fredholm mappings, Montel’s theorem, a priori estimates and the employment of classical modular function theory.
How to Cite
EFENDIEV, M. A. & WENDLAND, W. L. Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data. Topological Methods in Nonlinear Analysis [online]. 1 March 2001, T. 17, nr 1, s. 111–124. [accessed 2.2.2023].
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