Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data
Keywords
Universal covering theorem, modular functions, topological degree, fundamental group, nonlinear Riemann-Hilbert problemsAbstract
In 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.Downloads
Published
2001-03-01
How to Cite
1.
EFENDIEV, M. A. and WENDLAND, W. L. Nonlinear Riemann-Hilbert problems for doubly connected domains and closed boundary data. Topological Methods in Nonlinear Analysis. Online. 1 March 2001. Vol. 17, no. 1, pp. 111 - 124. [Accessed 11 February 2025].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0