Nonlinear Riemann-Hilbert problems for multiply connected domains

DOI10.1016/0362-546X(94)00354-KzbMath0926.47040OpenAlexW2002310172MaRDI QIDQ4886599

Wolfgang L. Wendland, Messoud A. Efendiev

Publication date: 15 August 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00354-k

zbMATH Keywords

Leray-Schauder degree theorynonlinear operatorsmultiply connectednonlinear Riemann-Hilbert problemnonlinear pseudodifferential operatorsFredholm quasi-ruled mappings

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Boundary value problems in the complex plane (30E25) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (12)

Geometrical properties of nonlinear maps and their application. I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains ⋮ Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains ⋮ Symmetry groups, similarity reductions, and conservation laws of the time-fractional Fujimoto-Watanabe equation using Lie symmetry analysis method ⋮ Singular Riemann-Hilbert problem in complex-shaped domains ⋮ On recent advances in boundary-value problems in the plane ⋮ Nonlinear Riemann-Hilbert problems for axial- and bi-axial-monogenic functions ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ Spline approximation of a non-linear Riemann–Hilbert problem† ⋮ A degree theory for a class of perturbed Fredholm maps. II ⋮ Boundary differential relations for holomorphic functions on the disc ⋮ Generalized Ahlfors functions ⋮ Beurling's boundary differential relations on multiply connected domains

Cites Work

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• THE DEGREE OF A QUASI-RULED MAPPING AND A NONLINEAR HILBERT PROBLEM
• The topological degree for noncompact nonlinear mappings in Banach spaces
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• NON-LINEAR MONOTONE OPERATORS IN BANACH SPACES
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