The two hyperplane conjecture

DOI10.1007/s10114-019-8241-8zbMath1421.35183arXiv1809.10759OpenAlexW2950031047WikidataQ123008820 ScholiaQ123008820MaRDI QIDQ2311715

David S. Jerison

Publication date: 4 July 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10759

zbMATH Keywords

minimal surfacesisoperimetric surfaceshot spots conjectureelliptic variational problems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (3)

From graph cuts to isoperimetric inequalities: convergence rates of Cheeger cuts on data clouds ⋮ An optimal partition problem for the localization of eigenfunctions ⋮ The Friedland–Hayman inequality and Caffarelli’s contraction theorem

Cites Work

• The hot spots problem in planar domains with on hole
• A Berry-Esseen type inequality for convex bodies with an unconditional basis
• Isoperimetric and concentration inequalities: equivalence under curvature lower bound
• On the role of convexity in isoperimetry, spectral gap and concentration
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• The Brunn-Minkowski inequality in Gauss space
• On the connectivity of boundaries of sets minimizing perimeter subject to a volume constraint
• Quasiminimal surfaces of codimension 1 and John domains
• Connectivity of phase boundaries in strictly convex domains
• The gradient theory of phase transitions and the minimal interface criterion
• Extremal properties of half-spaces for log-concave distributions
• Euclidean triangles have no hot spots
• On the isoperimetric problem in Euclidean space with density
• Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
• Harnack's inequality for elliptic differential equations on minimal surfaces
• A gradient bound for free boundary graphs
• On isoperimetric sets of radially symmetric measures
• Isoperimetric Bounds on Convex Manifolds
• Existence and regularity of monotone solutions to a free boundary problem
• Quantitative Rectifiability and Lipschitz Mappings
• On Neumann eigenfunctions in lip domains
• The “hot spots” conjecture for domains with two axes of symmetry
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The two hyperplane conjecture