๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A remark on the Riemann-Hilbert problem with a vanishing coefficient

โœ Scribed by J. A. Virtanen

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
123 KB
Volume
266
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Abstract

This paper concerns the existence of nontrivial solutions of the Riemannโ€Hilbert problem with a continuous coefficient whose values belong to two rays in the complex plane. Our results extend those recently obtained by E. Shargorodsky and J. F. Toland [6]. (ยฉ 2004 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

๐Ÿ“œ SIMILAR VOLUMES

The solution of a certain nonlinear riem
The solution of a certain nonlinear riemann-hilbert problem with an application
โœ A. S. Peters ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 482 KB

where ~( 5 ) is a rational function. ## Bibliography [I] Pogorzelski, W., Integral Equations and their Applications, Pergamon Press, 1966, (see the references [2] Peters, A. S., Pairs o f Cauchy singular integral equations and the kernel [ b ( z ) f a ( { ) ] / ( z -{), at the end of this book).

A Remark on the Reduction of Cauchyโ€“Riem
A Remark on the Reduction of Cauchyโ€“Riemann Manifolds
โœ Frank Loose ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 186 KB ๐Ÿ‘ 2 views

The concept of a moment map for an action of a real Lie group by CR -diffeomorphisms on a CR -manifold M of hypersurface type is introduced. It gives rise to a natural reduction procedure in the sense that we construct a CR -structure on an associated orbit manifold M 0 for the case that the group a

On nonlinear Riemannโ€“Hilbert problems wi
On nonlinear Riemannโ€“Hilbert problems with discontinuous boundary condition
โœ M. A. Efendiev; W. L. Wendland ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 199 KB

## Abstract For holomorphic functions in the unit disc, we consider a general nonlinear boundary condition whose linearisation admits jump discontinuities at a finite number of points on the unit circle, the boundary of the unit disc. By using the properties of quasilinear Fredholm maps of the corr