Cover Image

Optimal quantitative stability estimates for Alexandrov's Soap Bubble Theorem via Gagliardo-Nirenberg-type interpolation inequalities

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	da Silva, João Gonçalves, Poggesi, Giorgio
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Differential Geometry 35N25, 53A10, 35B35 (Primary) 35A23 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Gagliardo-Nirenberg inequality via a new pointwise estimate
by: Lesnik, Karol, et al.
Published: (2024)

A sharp monomial Caffarelli-Kohn-Nirenberg inequality
by: Pagliarin, Francesco
Published: (2026)

Mixed-dispersion Schrödinger equations and Gagliardo-Nirenberg inequalities: equivalence between ground states and optimizers
by: Liu, Zhisu, et al.
Published: (2026)

On the Serrin's problem with Robin boundary conditions
by: Gavitone, Nunzia, et al.
Published: (2025)

Gagliardo-Nirenberg inequality with Hölder norms
by: Dong, Mengxia
Published: (2024)

Sharp multipolar $L^p$-Hardy-type inequalities on Riemannian manifolds
by: Ciulică, Cristian, et al.
Published: (2025)

Alexandrov-Fenchel inequalities for capillary hypersurfaces in hyperbolic space
by: Mei, Xinqun, et al.
Published: (2024)

Higher order Bol's inequality and its applications
by: Li, Mingxiang, et al.
Published: (2023)

Half-space Liouville-type theorems for minimal graphs with capillary boundary
by: Wang, Guofang, et al.
Published: (2025)

Injective ellipticity, cancelling operators, and endpoint Gagliardo-Nirenberg-Sobolev inequalities for vector fields
by: Van Schaftingen, Jean
Published: (2023)

Remainder terms, profile decomposition and sharp quantitative stability in the fractional nonlocal Sobolev-type inequality with $n>2s$
by: Lu, Qikai, et al.
Published: (2025)

The Cauchy problem for nonlinear dispersive models of long internal waves in the presence of the Coriolis force
by: Freire, Ricardo, et al.
Published: (2025)

Spherical rigidity for an exterior overdetermined problem with Neumann data prescribed by mean curvature
by: Niebel, Lukas
Published: (2026)

Extremal domains in $\mathbb{S}^2$: Geometric and Analytic methods
by: Espinar, José M., et al.
Published: (2024)

On the classification of Serrin planar domains
by: Cerezo, Alberto, et al.
Published: (2026)

A half-space Liouville theorem for anisotropic minimal graph with free boundary
by: Wang, Guofang, et al.
Published: (2026)

On some Liouville theorems for p-Laplace type operators
by: Chipot, Michel, et al.
Published: (2024)

A constrained mean curvature flow and Alexandrov-Fenchel inequalities
by: Mei, Xinqun, et al.
Published: (2022)

Sharp Weighted Cohen--Dahmen--Daubechies--DeVore Inequality with Applications to (Weighted) Critical Sobolev Spaces, Gagliardo--Nirenberg Inequalities, and Muckenhoupt Weights
by: Li, Yinqin, et al.
Published: (2024)

Varifold convergence of free boundary Allen--Cahn equation
by: An, Jingeon, et al.
Published: (2025)

Rigidity results for the capillary overdetermined problem
by: Lian, Yuanyuan, et al.
Published: (2025)

A note on Poincaré-Sobolev type inequalities on compact manifolds
by: Gicquaud, Romain
Published: (2025)

A short review on Improvements and stability for some interpolation inequalities
by: Dolbeault, Jean, et al.
Published: (2024)

The mean curvature type hypersurfaces with prescribed gradient image
by: Bao, Jiguang, et al.
Published: (2026)

Uniform approximation by harmonic polynomials for solving the Dirichlet problem of Laplace's equation on a disk
by: Lee, Haesung
Published: (2024)

Quantitative estimates for the forced Navier-Stokes equations and applications
by: Barker, Tobias, et al.
Published: (2026)

Global existence for the fully parabolic Keller--Segel system with critical mass on the plane
by: Hosono, Tatsuya
Published: (2026)

Hardy-Sobolev inequalities involving mixed radially and cylindrically symmetric weights
by: Cora, Gabriele, et al.
Published: (2025)

Face 2-phase: how much overdetermination is enough to get symmetry in two-phase problems
by: Cavallina, Lorenzo, et al.
Published: (2023)

Asymptotics of weighted Gagliardo seminorms
by: Kijaczko, Michał
Published: (2023)

Nodal set comparison for Allen--Cahn solutions with conical asymptotics
by: Lee, Sanghoon, et al.
Published: (2026)

A Bianchi-Calo method for Bryant type surfaces
by: Burstall, F. E., et al.
Published: (2026)

Poincaré inequality and quantitative De Giorgi method for hypoelliptic operators
by: Anceschi, Francesca, et al.
Published: (2024)

Pólya-type inequalities on spheres and hemispheres
by: Freitas, Pedro, et al.
Published: (2022)

The Poisson-Dirichlet problem in domains with Ahlfors regular boundary
by: Barton, Ariel, et al.
Published: (2025)

Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces
by: Della Corte, Serena, et al.
Published: (2023)

On approximation theorems for solutions to strongly parabolic systems in anisotropic Sobolev spaces
by: Shlapunov, Alexander, et al.
Published: (2025)

Generalized boundary rigidity and minimal surface transform
by: Busch, Leonard, et al.
Published: (2025)

The Calderón problem on Riemannian surfaces and of minimal surfaces
by: Cârstea, Cătălin I., et al.
Published: (2024)

A dimension-free interpolation of Caffarelli's contraction theorem
by: Ammari, Bader, et al.
Published: (2026)