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Anisotropic liquid drop models (Q2119561)

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scientific article

Language	Label	Description	Also known as
English	Anisotropic liquid drop models	scientific article

Statements

scholarly article

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Anisotropic liquid drop models (English)

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Ihsan Topaloglu

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publication date

29 March 2022

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full work available at URL

https://arxiv.org/abs/1810.08304

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zbMATH Keywords

liquid drop model

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anisotropic

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Wulff shape

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quasi-minimizers of anisotropic perimeter

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MaRDI profile type

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Minimality via second variation for a nonlocal isoperimetric problem

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Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem

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On a crystalline variational problem. I: First variation and global \(L^\infty\) regularity

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On a crystalline variational problem. II: \(BV\) regularity and structure of minimizers on facets

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First variation of anisotropic energies and crystalline mean curvature for partitions

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Regularity theory for almost minimal currents

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Local and Global Minimality Results for a Nonlocal Isoperimetric Problem on $\mathbb{R}^N$

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The isoperimetric theorem for general integrands

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Existence and uniqueness for anisotropic and crystalline mean curvature flows

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Existence and Uniqueness for a Crystalline Mean Curvature Flow

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Classification of solutions for an integral equation

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An Old Problem Resurfaces Nonlocally: Gamow's Liquid Drops Inspire Today's Research and Applications

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Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional

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Small Volume-Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional

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A selection principle for the sharp quantitative isoperimetric inequality

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Bubbling with \(L^2\)-almost constant mean curvature and an Alexandrov-type theorem for crystals

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Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals

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Regularity of codimension-1 minimizing currents under minimal assumptions on the integrand

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Isoperimetry and stability properties of balls with respect to nonlocal energies

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On the shape of liquid drops and crystals in the small mass regime

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The Wulff theorem revisited

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A uniqueness proof for the Wulff Theorem

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Nonexistence of large nuclei in the liquid drop model

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A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model

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Compact embedded hypersurfaces with constant higher order anisotropic mean curvatures

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Isoperimetric problem with a coulomb repulsive term

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On an isoperimetric problem with a competing nonlocal term. I: The planar case

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On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case

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Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

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An overdetermined problem in Riesz-potential and fractional Laplacian

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Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model

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Sets of Finite Perimeter and Geometric Variational Problems

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A strong form of the quantitative Wulff inequality

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Characterization of balls by Riesz-potentials

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Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals

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Boundaries of Caccioppoli sets with Hölder-continuois normal vector.

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Crystalline variational problems

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Anisotropic symmetrization

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Advances in the Calculus of Variations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/ACV-2019-0088

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Sitelinks

Mathematics(1 entry)

mardi Publication:2119561

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