Geometric stability of the Coulomb energy
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Publication:889749
DOI10.1007/s00526-015-0900-8zbMath1331.26034arXiv1407.1918OpenAlexW3100102140WikidataQ115387344 ScholiaQ115387344MaRDI QIDQ889749
Almut Burchard, Gregory R. Chambers
Publication date: 9 November 2015
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.1918
Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Inequalities for sums, series and integrals (26D15) Inequalities and extremum problems in real or complex geometry (51M16) Variational methods for higher-order elliptic equations (35J35)
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Cites Work
- Unnamed Item
- Unnamed Item
- Characterization of balls by Riesz-potentials
- A note on the Sobolev inequality
- Compactness via symmetrization
- Near equality in the Riesz-Sobolev inequality
- Quantitative stability for sumsets in \(\mathbb R^n\)
- The sharp quantitative isoperimetric inequality
- Some methods for studying stability in isoperimetric type problems
- A quantitative isoperimetric inequality in n-dimensional space.
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Bonnesen-Style Isoperimetric Inequalities
- Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality