Quasilinear \(\overline\partial\)-equation on bordered Riemann surfaces

DOI10.1007/s00208-006-0755-6zbMath1106.35045OpenAlexW1963529405MaRDI QIDQ2494344

Manuel Flores, Miran Cerne

Publication date: 26 June 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-006-0755-6

zbMATH Keywords

existencebordered Riemann surfacesnonlinear Riemann-Hilbert problemquasilinear \(\overline\partial\)-equation

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Riemann-Hilbert problems in context of PDEs (35Q15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (4)

Boundary value problems for a class of planar complex vector fields ⋮ Nonlinear Riemann–Hilbert problems for quasilinear -equations on the unit disc ⋮ Some remarks on Hartogs’ extension lemma ⋮ Beurling's boundary differential relations on multiply connected domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized analytic functions on Riemann surfaces
• On genericity for holomorphic curves in four-dimensional almost-complex manifolds
• A counterexample related to Hartogs' phenomenon (a question by E. Chirka)
• The Riemann-Hilbert problem for finite riemann surfaces
• Elliptic Partial Differential Equations of Second Order
• Remarks on the proof of a generalized Hartogs Lemma
• On the asymptotics of meromorphic solutions for nonlinear Riemann–Hilbert problems
• Nonlinear Riemann-Hilbert problem for bordered Riemann surfaces
• Boundary value problems for pseudoanalytic functions
• An Infinite Dimensional Version of Sard's Theorem

This page was built for publication: Quasilinear \(\overline\partial\)-equation on bordered Riemann surfaces