RIEMANN-HILBERT PROBLEMS WITH CONSTRAINTS

被引:2
|
作者
Bertrand, Florian [1 ]
Della Sala, Giuseppe [1 ]
机构
[1] Amer Univ Beirut, Dept Math, Ctr Adv Math Sci, Beirut, Lebanon
基金
奥地利科学基金会;
关键词
MAXIMAL REAL-SUBMANIFOLDS; FINITE JET DETERMINATION; STATIONARY DISCS; ANALYTIC DISKS;
D O I
10.1090/proc/14390
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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. The results of this paper are particularly adapted to the study of stationary discs attached to CR manifolds.
引用
收藏
页码:2123 / 2131
页数:9
相关论文
共 50 条
  • [1] Formulation of Riemann-Hilbert Problems
    [J]. UNIFIED APPROACH TO BOUNDARY VALUE PROBLEMS, 2008, 78 : 189 - 194
  • [2] Loop spaces and Riemann-Hilbert problems
    Khimshiashvili, G.
    [J]. GEOMETRY AND TOPOLOGY OF MANIFOLDS: THE MATHEMATICAL LEGACY OF CHARLES EHRESMANN ON THE OCCASION OF THE HUNDREDTH ANNIVERSARY OF HIS BIRTHDAY, 2007, 76 : 411 - 424
  • [3] On Riemann-Hilbert Problems in Circle Packing
    Elias Wegert
    David Bauer
    [J]. Computational Methods and Function Theory, 2009, 9 (2) : 609 - 632
  • [4] Factorization in a torus and Riemann-Hilbert problems
    Camara, M. C.
    Malheiro, M. T.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (01) : 343 - 363
  • [5] Asymptotics of oscillatory Riemann-Hilbert problems
    Varzugin, GG
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (11) : 5869 - 5892
  • [6] Orientable and nonorientable Riemann-Hilbert problems
    Efendiev, MA
    Wendland, WL
    [J]. PROBLEMS AND METHODS IN MATHEMATICAL PHYSICS: THE SIEGFRIED PROSSDORF MEMORIAL VOLUME, 2001, 121 : 73 - 88
  • [7] Asymptotics of Oscillatory Riemann-Hilbert Problems
    [J]. UNIFIED APPROACH TO BOUNDARY VALUE PROBLEMS, 2008, 78 : 301 - 313
  • [8] Noncommutative monopoles and Riemann-Hilbert problems
    Lechtenfeld, O
    Popov, AD
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2004, (01):
  • [9] An approximation for a subclass of the Riemann-Hilbert problems
    Kucerovsky, Dan
    Payandeh Najafabadi, Amir T.
    [J]. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 2009, 74 (04): : 533 - 547
  • [10] On the origins of Riemann-Hilbert problems in mathematics*
    Bothner, Thomas
    [J]. NONLINEARITY, 2021, 34 (04) : R1 - R73