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Riemann-Hilbert problems with constraints

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 29 Jan 2019Embargo end date: 01 Jan 2014 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 147, pages 2,123-2,131 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )Funded by:FWF | Boundary behaviour of hol..., FWF | Local Analysis on Almost ...
Authors: Bertrand, Florian; Della Sala, Giuseppe;

doi: 10.1090/proc/14390 , 10.48550/arxiv.1407.3709

arXiv: 1407.3709

Riemann-Hilbert problems with constraints

Abstract

This paper is devoted to Riemann-Hilbert problems with constraints. We obtain results characterizing the existence of solutions as well as the dimension of the solution space in terms of certain indices. As an application, we show how such results may be used to construct analytic discs attached to singular manifolds.

10 pages

Related Organizations
Keywords

Riemann-Hilbert problem, 35Q15, 30E25, 32A30, Mathematics - Complex Variables, FOS: Mathematics, Boundary value problems in the complex plane, Complex Variables (math.CV), stationary disc

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
hybrid