Musielak-Orlicz-Sobolev embeddings: Necessary and Sufficient Conditions

2024/06/12 by Ankur Pandey, Pandey, Ankur, Nijjwal Karak +1
Mathematics · #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2406.08091

openalex publication_date 2024/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the necessary and sufficient conditions on domain for Musielak-Orlicz-Sobolev embedding of the space W^{1,Φ(⋅,⋅)}(Ω) where Φ(x,t):=t^p(x)(log(e+t))^q(x).

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