Faber-Krahn inequalities in sharp quantitative form

From MaRDI portal
Publication:2354908

DOI10.1215/00127094-3120167zbMath1334.49149arXiv1306.0392OpenAlexW1560993323MaRDI QIDQ2354908

Lorenzo Brasco, Guido De Philippis, Bozhidar Velichkov

Publication date: 27 July 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0392




Related Items

The Stability of the Isoperimetric InequalityStability of Serrin's Problem and Dynamic Stability of a Model for Contact Angle MotionStability of the Bakry-Émery theorem on \(\mathbb{R}^n\)Localization for random walks among random obstacles in a single Euclidean ballStability of the mean value formula for harmonic functions in Lebesgue spacesA quantitative form of Faber-Krahn inequalityQuantitative Stability for Eigenvalues of Schrödinger Operator, Quantitative Bathtub Principle, and Application to the Turnpike Property for a Bilinear Optimal Control ProblemA quantitative stability estimate for the fractional Faber-Krahn inequalityThe quantitative isoperimetric inequality and related topicsBiased random walk conditioned on survival among Bernoulli obstacles: subcritical phaseThe sharp quantitative isocapacitary inequality (the case of \(p\)-capacity)Compactness and dichotomy in nonlocal shape optimizationStability in shape optimization with second variationFree boundary regularity for almost-minimizersA Faber-Krahn inequality for mixed local and nonlocal operatorsSharp and quantitative estimates for the \(p\)-torsion of convex setsRegularity in shape optimization under convexity constraintAn isoperimetric problem with a Coulombic repulsion and attractive termOn the spectral gap in the Kac-Luttinger model and Bose-Einstein condensationContinuity with respect to the speed for optimal ship forms based on Michell's formulaLinear stability implies nonlinear stability for Faber-Krahn-type inequalitiesMinimality of the ball for a model of charged liquid dropletsThe Riemannian quantitative isoperimetric inequalityQuantitative Obata's theoremFuglede-Type Arguments for Isoperimetric Problems and Applications to Stability Among Convex ShapesStability of the Faber-Krahn inequality for the short-time Fourier transformOn Pleijel's nodal domain theorem for the Robin problemQuantitative inequality for the eigenvalue of a Schrödinger operator in the ballDegenerate stability of some Sobolev inequalitiesA sharp stability result for the Gauss mean value formulaA geometric uncertainty principle with an application to Pleijel's estimateOptimization problems with non-local repulsionLocal minimality of the ball for the Gaussian perimeterIsoperimetric inequalities for Bergman analytic contentThe sharp quantitative isocapacitary inequalityQuantitative inequalities for the expected lifetime of Brownian motionThe quantitative Faber-Krahn inequality for the Robin LaplacianInequalities for the lowest magnetic Neumann eigenvalueA spectral shape optimization problem with a nonlocal competing termQuantitative lower bounds to the Euclidean and the Gaussian Cheeger constantsQuantitative estimates for bending energies and applications to non-local variational problemsDegenerate free discontinuity problems and spectral inequalities in quantitative formTowards optimal gradient bounds for the torsion function in the planeQuantitative estimates for parabolic optimal control problems under \(L^\infty\) and \(L^1\) constraints in the ball: quantifying parabolic isoperimetric inequalitiesThe random walk penalised by its range in dimensions \(d\geqslant 3\)A reverse quantitative isoperimetric type inequality for the Dirichlet LaplacianUniqueness of the blowup at isolated singularities for the Alt-Caffarelli functionalSharp stability for the Riesz potentialThe buckling eigenvalue problem in the annulusBlaschke--Santaló Diagram for Volume, Perimeter, and First Dirichlet EigenvalueStability of higher order eigenvalues in dimension oneQuantitative estimates for uniformly-rotating vortex patchesOn a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalueStability analysis on two thermal insulation problemsImproved energy bounds for Schrödinger operators



Cites Work


This page was built for publication: Faber-Krahn inequalities in sharp quantitative form