Extremal functions for the sharp $L^2-$ Nash inequality
Differential Geometry
2007-06-04 v1
Authors:
Emmanuel Humbert
Journal reference: Calculus of Variations and Partial Differential Equations 22, No 1 (2005) p 21-44
Abstract
We give geometrical conditions under which there exist extremal functions for the sharp L2-Nash inequality.
Cite
@article{arxiv.0706.0167,
title = {Extremal functions for the sharp $L^2-$ Nash inequality},
author = {Emmanuel Humbert},
journal= {arXiv preprint arXiv:0706.0167},
year = {2007}
}
Related papers
View all related →
Analysis of PDEs · Mathematics
On characterization of the sharp Strichartz inequality for the Schr\"odinger Equation
Jin-Cheng Jiang, Shuanglin Shao
2016-04-01
Classical Analysis and ODEs · Mathematics
Sharp quadrature formulas and Nikol'skii type inequalities for rational functions
V. I. Danchenko, L. A. Semin
2015-03-24
Functional Analysis · Mathematics
Extremal problems related to maximal dyadic like operators
Eleftherios N. Nikolidakis
2010-01-28
Number Theory · Mathematics
Convexity bounds for L-functions
D. R. Heath-Brown
2015-05-13
Functional Analysis · Mathematics
Existence of extremal functions in higher-order affine Sobolev inequalities
Tristan Bullion-Gauthier
2026-04-02
Analysis of PDEs · Mathematics
Extremal function for a sharp Moser-Trudinger type inequality on the upper half space
Yubo Ni
2025-01-07
General Mathematics · Mathematics
Extremal estimates for strongly additive and strongly multiplicative arithmetic functions
Victor Volfson
2023-01-19
Functional Analysis · Mathematics
Sharp Nash Inequalities on the unit sphere. The influence of symmetries
Athanase Cotsiolis, Nikos Labropoulos
2012-02-07
Classical Analysis and ODEs · Mathematics
On sharp constants in one-dimensional embedding theorems of arbitrary order
Alexander I. Nazarov
2013-08-13
Complex Variables · Mathematics
An extremal problem for generalized Lelong numbers
Alexander Rashkovskii
2009-07-01
Analysis of PDEs · Mathematics
On the existence of maximizers for functionals with critical exponential growth in R^2
Cristina Tarsi
2007-05-23
Functional Analysis · Mathematics
A dual form of the sharp Nash inequality and its weighted generalization
Eric A. Carlen, Elliott H. Lieb
2018-11-28
Complex Variables · Mathematics
Sharp Markov-type Inequalities for Rational Functions on Several Intervals
M. A. Akturk, A. Lukashov
2015-06-23
Analysis of PDEs · Mathematics
The existence of extremal functions for discrete Sobolev inequalities on lattice graphs
Bobo Hua, Ruowei Li
2021-07-01
Classical Analysis and ODEs · Mathematics
Steklov-type 1D inequalities (a survey)
Alexander I. Nazarov, Alexandra P. Shcheglova
2026-03-26
Optimization and Control · Mathematics
Second-order subdifferential. Extremal problems for operational inclusions
M. A. Sadygov
2017-10-23
Classical Analysis and ODEs · Mathematics
Extremizers and Bellman function for martingale weak type inequality
Alexander Reznikov, Vasiliy Vasyunin, Alexander Volberg
2013-11-12
Analysis of PDEs · Mathematics
Singular Liouville Equations on $S^2$: Sharp Inequalities and Existence Results
Gabriele Mancini
2015-08-11
Combinatorics · Mathematics
Equality of Schur and skew Schur functions
Stephanie van Willigenburg
2007-06-22
Analysis of PDEs · Mathematics
Extremal functions for Morrey's inequality
Ryan Hynd, Francis Seuffert
2020-05-19
Number Theory · Mathematics
Sharp upper bounds for moments of quadratic Dirichlet $L$-functions
Peng Gao
2021-01-22
Analysis of PDEs · Mathematics
Optimal decay of extremals for the fractional Sobolev inequality
Lorenzo Brasco, Sunra Mosconi, Marco Squassina
2016-02-10
Probability · Mathematics
Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments
Jean-Christophe Mourrat, Felix Otto
2015-03-31
Classical Analysis and ODEs · Mathematics
Sharp Weighted $L^2$ inequalities for square functions
Rodrigo Banuelos, Adam Osekowski
2016-03-25
Complex Variables · Mathematics
On some extremal problems in spaces of harmonic functions
Milos Arsenovic, Romi Shamoyan
2012-01-18