A5070174582- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
- Point processes and geometric inequalities
- Advanced Mathematical Modeling in Engineering
- Numerical methods in inverse problems
- Geometry and complex manifolds
- Optimization and Variational Analysis
- Mathematics and Applications
- Navier-Stokes equation solutions
- Stochastic processes and statistical mechanics
- Pickering emulsions and particle stabilization
- Mathematical Dynamics and Fractals
- Analytic and geometric function theory
- Advanced Banach Space Theory
- Advanced Numerical Analysis Techniques
- Mathematical and Theoretical Analysis
- Computational Geometry and Mesh Generation
- Medical Imaging Techniques and Applications
- Elasticity and Material Modeling
- Mathematical Inequalities and Applications
- Quasicrystal Structures and Properties
- Geometric and Algebraic Topology
- Theoretical and Computational Physics
- Surfactants and Colloidal Systems
- Advanced Numerical Methods in Computational Mathematics
The University of Texas at Austin
2015-2024
University of Modena and Reggio Emilia
2016-2017
University of Brighton
2017
University of Sussex
2017
Scuola Normale Superiore
2017
The Abdus Salam International Centre for Theoretical Physics (ICTP)
2015-2017
University of Zurich
2017
Technical University of Munich
2016
Center for Theoretical Physics
2016
University of Florence
2003-2014
A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to conjecture by Hall.Notice that (6.13) generalizes (3.2) any set finite perimeter.
A quantitative version of the sharp Sobolev inequality in W^{1,p} (ℝ^n) , 1 < p n is established with a remainder term involving distance from family extremals.
We prove a sharp quantitative version of the isoperimetric inequality in space ${\Bbb R}^n$ endowed with Gaussian measure.
The first eigenvalue of the p-Laplacian on an open set given measure attains its minimum value if and only is a ball.We provide quantitative version this statement by argument that can be easily adapted to treat also certain isocapacitary Cheeger inequalities.
Abstract We prove that the boundary of a (not necessarily connected) bounded smooth set with constant nonlocal mean curvature is sphere. More generally, and in contrast what happens classical case, we show Lipschitz such controls its <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>C</m:mi> <m:mn>2</m:mn> </m:msup> </m:math> {C^{2}} -distance from single The corresponding stability inequality obtained sharp decay rate.
We review the method of quantitative symmetrization inequalities introduced in Fusco, Maggi and Pratelli, "The sharp isoperimetric inequality", Ann. Math.
We provide a compactness principle which is applicable to different formulations of Plateau’s problem in codimension one and exclusively based on the theory Radon measures elementary comparison arguments. Exploiting some additional techniques geometric measure theory, we can use this give proof theorem by Harrison Pugh answer question raised Guy David.
Abstract The distance of an almost‐constant mean curvature boundary from a finite family disjoint tangent balls with equal radii is quantitatively controlled in terms the oscillation scalar curvature. This result allows one to describe geometry volume‐constrained stationary sets capillarity problems.© 2017 Wiley Periodicals, Inc.
Several commonly observed physical and biological systems are arranged in shapes that closely resemble an honeycomb cluster, is, a tessellation of the plane by regular hexagons. Although these not always direct product energy minimization, they can still be understood, at least phenomenologically, as low-energy configurations. In this paper, explicit quantitative estimates on geometry such configurations provided, showing particular vast majority chambers must generalized polygons with six...