Integral conditions in the theory of the Beltrami equations

2010/01/16 by Vladimir Ryazanov, Uri Srebro, Ryazanov, V. +3 · 1 citation
Mathematics · #30C #Analysis of PDEs (math.AP) #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1001.2821

openalex publication_date 2010/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that many recent and new results on the existence of ACL homeomorphic (and more strong) solutions for the Beltrami equations with integral constraints follow from our extension of the well--known Lehto existence theorem.

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• On Koebe's theorem for mappings with integral constraints

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