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On a free boundary problem and minimal surfaces (Q1747356)

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Language	Label	Description	Also known as
English	On a free boundary problem and minimal surfaces	scientific article

Statements

scholarly article

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On a free boundary problem and minimal surfaces (English)

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Annales de l'Institut Henri Poincaré. Analyse Non Linéaire

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publication date

8 May 2018

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full work available at URL

https://arxiv.org/abs/1704.07869

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zbMATH Keywords

free boundary problems

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minimal surfaces

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global minimizers

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Allen-Cahn equation

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reduction method

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MaRDI profile type

MaRDI publication profile

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Higher-Dimensional Catenoid, Liouville Equation, and Allen–Cahn Equation

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Variational problems with two phases and their free boundaries

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Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi

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Minimal cones and the Bernstein problem

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A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz

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A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)

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Global energy minimizers for free boundary problems and full regularity in three dimensions

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A singular energy minimizing free boundary

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A gradient bound for free boundary graphs

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Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in \(\mathbb{R}^3\)

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Serrin's overdetermined problem and constant mean curvature surfaces

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Solutions to the Allen Cahn equation and minimal surfaces

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On De Giorgi's conjecture in dimension \(N\geq 9\)

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Hitchhiker's guide to the fractional Sobolev spaces

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$1$D symmetry for solutions of semilinear and quasilinear elliptic equations

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Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems

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Splitting Theorems, Symmetry Results and Overdetermined Problems for Riemannian Manifolds

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Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications

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Classical Fourier Analysis

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On a conjecture of De Giorgi and some related problems

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Area minimizing hypersurfaces with isolated singularities.

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On an overdetermined elliptic problem

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Structure of One-Phase Free Boundaries in the Plane

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Some remarks on stability of cones for the one-phase free boundary problem

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Towards a counter-example to a conjecture of De Giorgi in high dimensions

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A Free Boundary Problem Inspired by a Conjecture of De Giorgi

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The behavior of the free boundary near the fixed boundary for a minimization problem

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Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\)

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Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones

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A Rigidity Result for Overdetermined Elliptic Problems in the Plane

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Geometry and topology of some overdetermined elliptic problems

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Regularity of flat level sets in phase transitions

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Minimal varieties in Riemannian manifolds

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New extremal domains for the first eigenvalue of the Laplacian in flat tori

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Stability properties for the higher dimensional catenoid in $\mathbb R^{n+1}$

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Classification of the solutions to an overdetermined elliptic problem in the plane

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Hollow vortices and minimal surfaces

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Flatness of Bernoulli jets

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Flat level set regularity of 𝑝-Laplace phase transitions

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Partial regularity for a minimum problem with free boundary

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Partial regularity for weak solutions of an elliptic free boundary problem

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Identifiers

zbMATH Open document ID

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10.1016/j.anihpc.2017.09.005

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1747356

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