Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms. The high-dimensional case-Reference-Cited by-同舟云学术

Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms. The high-dimensional case

Published:2024-07-26 Issue: Volume: Page:
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Druet Olivier¹,Hebey Emmanuel²,Robert Frédéric³

Affiliation:

1. Institut Camille Jordan , Université Claude Bernard Lyon 1 , 21 avenue Claude Bernard, 69622 Villeurbanne Cedex , France

2. Department of Mathematics , 27004 CY University Cergy-Pontoise , Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex , France

3. Institut Élie Cartan , Université de Lorraine , BP 70239, F-54506 Vandœuvre-lès-Nancy , France

Abstract

Abstract We prove existence of extremal functions and compactness of the set of extremal functions for twisted sharp 𝑛-dimensional Sobolev inequalities with lower order remainder terms when n ≥ 5

n\geq 5

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2024-0056/pdf

Reference14 articles.

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5. O. Druet and E. Hebey, Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms, preprint (2023).

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1. Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms. The high-dimensional case;Journal für die reine und angewandte Mathematik (Crelles Journal);2024-07-26