Pointwise inequalities for Sobolev functions on generalized cuspidal domains

Författare

  • Zheng Zhu University of Jyväskylä, Department of Mathematics and Statistics

Nyckelord:

Sobolev functions, cuspidal domains, pointwise inequality

Abstract

Let ΩRn1 be a bounded star-shaped domain and Ωψ be an outward cuspidal domain with base domain Ω. We prove that for 1<p, W1,p(Ωψ)=M1,p(Ωψ) if and only if W1,p(Ω)=M1,p(Ω).

 

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Articles

Publicerad

2022-05-10

Referera så här

Zhu, Z. (2022). Pointwise inequalities for Sobolev functions on generalized cuspidal domains. Annales Fennici Mathematici, 47(2), 747–757. https://doi.org/10.54330/afm.117881