Weighted and anisotropic Sobolev inequality with extremal

Autor:	Prashanta Garain, Kaushik Bal
Rok vydání:	2021
Předmět:	General Mathematics 010102 general mathematics Algebraic geometry Muckenhoupt weights 01 natural sciences Omega Domain (mathematical analysis) Sobolev inequality Combinatorics Number theory Bounded function 0103 physical sciences Embedding 010307 mathematical physics 0101 mathematics Mathematics
Zdroj:	manuscripta mathematica. 168:101-117
ISSN:	1432-1785 0025-2611
DOI:	10.1007/s00229-021-01298-3
Popis:	For a bounded smooth domain $$\Omega \subset {\mathbb {R}}^N$$ with $$N\ge 2$$ , we establish a weighted and an anisotropic version of Sobolev inequality related to the embedding $$W_{0}^{1,p}(\Omega )\hookrightarrow L^q(\Omega )$$ for $$1
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::da4bc2736c0e5257280d8f4775755e70 https://doi.org/10.1007/s00229-021-01298-3 Zobrazit plný text záznamu Full text from SpringerLink