Thumbnail

Gagliardo-Nirenberg-Sobolev inequalities on planar graphs

Esteban, Maria J. (2022), Gagliardo-Nirenberg-Sobolev inequalities on planar graphs, Communications on Pure and Applied Analysis, 21, 6, p. 2101-2114. 10.3934/cpaa.2022051

View/Open
Type
Article accepté pour publication ou publié
Date
2022
Journal name
Communications on Pure and Applied Analysis
Volume
21
Number
6
Publisher
AIMS - American Institute of Mathematical Sciences
Published in
Paris
Pages
2101-2114
Publication identifier
Metadata
Show full item record
Author(s)
Esteban, Maria J.
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
In this paper we study a family of interpolation Gagliardo-Nirenberg-Sololev inequalities on planar graphs. We are interested in knowing when the best constants in the inequalities are achieved. We also analyse the set of solutions of the corresponding Euler-Lagrange equations.
Subjects / Keywords
Functional inequality; optimizer; extremal function; graph; planar graph