Sharp gradient stability for the Sobolev inequality
Sharp gradient stability for the Sobolev inequality Page 1 SHARP GRADIENT STABILITY FOR
THE SOBOLEV INEQUALITY ALESSIO FIGALLI and YI RU-YA ZHANG Abstract We prove a …
THE SOBOLEV INEQUALITY ALESSIO FIGALLI and YI RU-YA ZHANG Abstract We prove a …
An overview on extremals and critical points of the Sobolev inequality in convex cones
A Roncoroni - Rendiconti Lincei, 2023 - ems.press
Mathematical Analysis. – An overview on extremals and critical points of the Sobolev inequality
in convex cones, by Alberto Ro Page 1 Rend. Lincei Mat. Appl. 33 (2022), 967–995 DOI …
in convex cones, by Alberto Ro Page 1 Rend. Lincei Mat. Appl. 33 (2022), 967–995 DOI …
Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method
The purpose of this work is to establish a quantitative and constructive stability result for a
class of subcritical Gagliardo-Nirenberg-Sobolev inequalities which interpolates between …
class of subcritical Gagliardo-Nirenberg-Sobolev inequalities which interpolates between …
Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities
We set up a one-parameter family of inequalities that contains both the Hardy inequalities
(when the parameter is 1) and the Caffarelli-Kohn-Nirenberg inequalities (when the …
(when the parameter is 1) and the Caffarelli-Kohn-Nirenberg inequalities (when the …
A note on strong-form stability for the Sobolev inequality
R Neumayer - Calculus of Variations and Partial Differential …, 2020 - Springer
In this note, we establish a strong form of the quantitive Sobolev inequality in Euclidean
space for p ∈ (1, n) p∈(1, n). Given any function u ∈ ̇ W^ 1, p (R^ n) u∈ W˙ 1, p (R n), the …
space for p ∈ (1, n) p∈(1, n). Given any function u ∈ ̇ W^ 1, p (R^ n) u∈ W˙ 1, p (R n), the …
Sharp quantitative stability for isoperimetric inequalities with homogeneous weights
Sharp quantitative stability for isoperimetric inequalities with homogeneous weights Page 1
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 375, Number 3 …
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 375, Number 3 …
Sharp quantitative stability of Poincare-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows
Consider the Poincar\'e-Sobolev inequality on the hyperbolic space: for every $ n\geq 3$
and $1< p\leq\frac {n+ 2}{n-2}, $ there exists a best constant $ S_ {n, p,\lambda}(\mathbb …
and $1< p\leq\frac {n+ 2}{n-2}, $ there exists a best constant $ S_ {n, p,\lambda}(\mathbb …
Sharp quantitative stability of Struwe's decomposition of the Poincar\'e-Sobolev inequalities on the hyperbolic space: Part I
A classical result owing to Mancini and Sandeep [Ann. Sc. Norm. Super. Pisa Cl. Sci. 7
(2008)] asserts that all positive solutions of the Poincar\'e-Sobolev equation on the …
(2008)] asserts that all positive solutions of the Poincar\'e-Sobolev equation on the …
The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty principle
In this paper we prove a class of second order Caffarelli-Kohn-Nirenberg inequalities which
contains the sharp second order uncertainty principle recently established by Cazacu, Flynn …
contains the sharp second order uncertainty principle recently established by Cazacu, Flynn …
Gradient stability of Caffarelli-Kohn-Nirenberg inequality involving weighted p-Laplace
S Deng, X Tian - arXiv preprint arXiv:2401.04129, 2024 - arxiv.org
The best constant and extremal functions are well known of the following Caffarelli-Kohn-
Nirenberg inequality\[\int_ {\mathbb {R}^ N}|\nabla u|^ p\frac {\mathrm {d} x} …
Nirenberg inequality\[\int_ {\mathbb {R}^ N}|\nabla u|^ p\frac {\mathrm {d} x} …