Nonlinear Riemann–Hilbert problems for quasilinear -equations on the unit disc

DOI10.1080/17476933.2017.1304389zbMath1392.35199OpenAlexW2623965970MaRDI QIDQ5374189

Miran Cerne

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1304389

zbMATH Keywords

Riemann-Hilbert problemHilbert transformsmooth solutionsolution operatorJordan curvebordered Riemann surface\(\overline{\partial }\)-equation

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Riemann-Hilbert problems in context of PDEs (35Q15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (1)

Nonlinear mixed Cherepanov boundary-value problem

Cites Work

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• Generalized analytic functions on Riemann surfaces
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• Quasilinear \(\overline\partial\)-equation on bordered Riemann surfaces
• Boundary differential relations for holomorphic functions on the disc
• The Riemann-Hilbert problem for finite riemann surfaces
• Topological Methods for Strongly Nonlinear Riemann-Hilbert Problems for Holomorphic Functions
• On the asymptotics of meromorphic solutions for nonlinear Riemann–Hilbert problems
• Nonlinear boundary value problems for elliptic systems in the plane
• THE DEGREE OF A QUASI-RULED MAPPING AND A NONLINEAR HILBERT PROBLEM
• Boundary value problems for pseudoanalytic functions

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