Bubbles with constant mean curvature, and almost constant mean curvature, in the hyperbolic space

DOI10.1007/s00526-021-01932-8OpenAlexW3200747991WikidataQ115386776 ScholiaQ115386776MaRDI QIDQ2236828

Publication date: 26 October 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03227

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01)

Cites Work

Unnamed Item
Bubbles with prescribed mean curvature: the variational approach
\(H\)-bubbles in a perturbative setting: the finite-dimensional reduction method
Foliation by constant mean curvature spheres
Embedded hyperspheres with prescribed mean curvature
Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
The isoperimetric profile of a smooth Riemannian manifold for small volumes
Convergence of solutions of H-systems or how to blow bubbles
Some remarks on the existence of hypersurfaces of constant mean curvature with a given boundary, or asymptotic boundary, in hyperbolic space
A remark on the existence of sphere with prescribed mean curvature
Embedded loops in the hyperbolic plane with prescribed, almost constant curvature
Conformal immersions of prescribed mean curvature in \(\mathbb{R}^3\)
The Plateau problem for surfaces of prescribed mean curvature in a Riemannian manifold
On the dynamics of a charged particle in magnetic fields with cylindrical symmetry
The Dirichlet problem for \(H\)-systems with small boundary data: blowup phenomena and nonexistence results
The role of the spectrum of the Laplace operator on \(\mathbb S^2\) in the \(\mathcal H\) bubble problem
A note on the existence of \(H\)-bubbles via perturbation methods
Asymptotic Morse theory for the equation \(\Delta v- 2v_x\wedge v_y\)
Weak limit and blowup of approximate solutions to \(H\)-systems
Seminar on Differential Geometry. (AM-102)
A Theory of Branched Immersions of Surfaces
Constant Mean Curvature Surfaces with Boundary
On the asymptotic analysis of \(H\)-systems. I: Asymptotic behavior of large solutions.

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