Index estimates for free boundary constant mean curvature surfaces

DOI10.2140/pjm.2020.305.153zbMath1439.53007arXiv1803.05995OpenAlexW3098148274WikidataQ125954981 ScholiaQ125954981MaRDI QIDQ2306073

Darlan Ferreira de Oliveira, Marcos Petrúcio De A. Cavalcante

Publication date: 20 March 2020

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.05995

zbMATH Keywords

Morse indexconstant mean curvature surfacesfree boundary surfaces

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items

Index estimates for closed minimal submanifolds of the sphere, Stability for a second type partitioning problem, Spectrum comparison on free boundary minimal submanifolds of Euclidean domains, Capillary surfaces: stability, index and curvature estimates, Index estimates for surfaces with constant mean curvature in 3-dimensional manifolds

Cites Work

• Unnamed Item
• Sharp eigenvalue bounds and minimal surfaces in the ball
• Stability of capillary hypersurfaces with planar boundaries
• The first Steklov eigenvalue, conformal geometry, and minimal surfaces
• Stable capillary hypersurfaces in a wedge
• On stability of capillary surfaces in a ball
• Index estimates for free boundary minimal hypersurfaces
• On CMC free-boundary stable hypersurfaces in a Euclidean ball
• Stability of capillary hypersurfaces in a Euclidean ball
• Stability for hypersurfaces of constant mean curvature with free boundary
• Capillary surfaces with free boundary in a wedge
• Uniqueness of stable capillary hypersurfaces in a ball
• On stable constant mean curvature surfaces with free boundary
• One-sided complete stable minimal surfaces
• Stable periodic constant mean curvature surfaces and mesoscopic phase separation
• Stable capillary hypersurfaces in a half-space or a slab
• Index bounds for free boundary minimal surfaces of convex bodies
• Index bounds for minimal hypersurfaces of the sphere
• A variational problem for constant mean curvature surfaces with free boundary.
• Constant Mean Curvature Surfaces with Boundary
• Minimal surfaces and eigenvalue problems