On boundary extension of unclosed Orlicz-Sobolev mappings

2025/04/25 by Victoria Desyatka, Desyatka, Victoria, Halyts'ka, Alina +1
Computer Science · Mathematics · #30C65 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2504.18123

openalex publication_date 2025/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the study of the boundary behavior of Orlicz-Sobolev classes that may not preserve the boundary under mapping. Under certain conditions, we show that these mappings have a continuous extension to the boundary of definition domain.

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