On Minimizers and Critical Points for Anisotropic Isoperimetric Problems
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Publication:5118803
DOI10.1007/978-3-030-38230-8_20zbMath1441.49037OpenAlexW3015514876MaRDI QIDQ5118803
Publication date: 27 August 2020
Published in: 2018 MATRIX Annals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-38230-8_20
Variational problems in a geometric measure-theoretic setting (49Q20) Global submanifolds (53C40) Optimization of shapes other than minimal surfaces (49Q10) Variational principles of physics (49S05)
Cites Work
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- On the shape of liquid drops and crystals in the small mass regime
- Characterization of balls by Riesz-potentials
- An overdetermined problem in Riesz-potential and fractional Laplacian
- A mass transportation approach to quantitative isoperimetric inequalities
- Compact hypersurfaces with constant higher order mean curvatures
- The isoperimetric theorem for general integrands
- Bubbling with \(L^2\)-almost constant mean curvature and an Alexandrov-type theorem for crystals
- Isoperimetry and stability properties of balls with respect to nonlocal energies
- On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case
- Sets of Finite Perimeter and Geometric Variational Problems
- Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model
- Local and Global Minimality Results for a Nonlocal Isoperimetric Problem on $\mathbb{R}^N$
- On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case
- 50 Years of First-Passage Percolation
- Small Volume-Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional
- A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model
- Compact embedded hypersurfaces with constant higher order anisotropic mean curvatures
- A uniqueness proof for the Wulff Theorem
- Isoperimetric problem with a coulomb repulsive term
- The Wulff theorem revisited
- Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp-Interface Functional
- Classification of solutions for an integral equation