Constant mean curvature surfaces with Delaunay ends

From MaRDI portal
Publication:5929600

DOI10.4310/CAG.2001.v9.n1.a6zbMath1005.53006arXivmath/9807039MaRDI QIDQ5929600

Frank Pacard, Rafe R. Mazzeo

Publication date: 5 April 2001

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9807039




Related Items (44)

Embedded tori with prescribed mean curvatureGeneralized connected sum construction for scalar flat metricsHigher genus Riemann minimal surfacesEmbedded Delaunay tori and their Willmore energyMultiple Delaunay ends solutions of the Cahn-Hilliard equationEnd-to-end gluing of constant mean curvature hypersurfacesSymmetry-Breaking for Immersed Constant Mean Curvature HypersurfacesDelaunay-type singular solutions for the fractional Yamabe problemOn Delaunay solutions of a biharmonic elliptic equation with critical exponentSingular periodic solutions to a critical equation in the Heisenberg groupA gluing approach for the fractional Yamabe problem with isolated singularitiesComplete metrics with constant fractional higher order \(Q\)-curvature on the punctured sphereA construction of constant scalar curvature manifolds with Delaunay-type endsOn periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearityAnnular type surfaces with fixed boundary and with prescribed, almost constant mean curvatureSerrin's overdetermined problem and constant mean curvature surfacesGeometry and topology of some overdetermined elliptic problemsDarboux transforms and spectral curves of constant mean curvature surfaces revisitedConstruction of compact constant mean curvature hypersurfaces with topologyOn bifurcation and local rigidity of triply periodic minimal surfaces in $\protect \mathbb{R}^3$Non-convex CMC spheresIsolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometryEmbedded constant mean curvature surfaces in Euclidean three-spaceOn De Giorgi's conjecture in dimension \(N\geq 9\)On Delaunay ends in the DPW methodOn spikes concentrating on lines for a Neumann superlinear Ambrosetti-Prodi type problemUnnamed ItemUnnamed ItemNew classes of entire solutions for semilinear elliptic problems in \(\mathbb R^{n}\)On the Equivariant Implicit Function Theorem with Low Regularity and Applications to Geometric Variational ProblemsA Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)The Toda system and multiple-end solutions of autonomous planar elliptic problemsOn higher-dimensional singularities for the fractional Yamabe problem: a nonlocal mazzeo-pacard programGluing constructions amongst constant mean curvature hypersurfaces in \({\mathbb {S}^{n+1}}\)Generalized Connected Sum Construction for Nonzero Constant Scalar Curvature MetricsModuli Space Theory of Constant Mean Curvature HypersurfacesNondegeneracy and the Jacobi fields of rotationally symmetric solutions to the Cahn-Hillard equationRadial and cylindrical symmetry of solutions to the Cahn-Hilliard equationSome new entire solutions of semilinear elliptic equations on \(\mathbb R^n\)Opening nodes in the DPW method: co-planar caseProperly embedded minimal annuli in \(\mathbb{H}^2 \times \mathbb{R}\)Gluing Delaunay ends to minimal \(n\)-noids using the DPW methodHigher-dimensional Scherk's hypersurfaces.On the non-existence of compact surfaces of genus one with prescribed, almost constant mean curvature, close to the singular limit




This page was built for publication: Constant mean curvature surfaces with Delaunay ends