A quasiconformal Hopf soap bubble theorem
DOI10.1007/s00526-022-02222-7zbMath1502.53013arXiv2103.12665OpenAlexW3137830738WikidataQ113904939 ScholiaQ113904939MaRDI QIDQ2135753
Pablo Mira, Marcos P. Tassi, José A. Gálvez
Publication date: 9 May 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.12665
principal curvaturesconstant mean curvature spheresgenus zerocompact elliptic Weingarten surfacesquasiconformal inequality
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
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Cites Work
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- A Hopf theorem for non-constant mean curvature and a conjecture of A. D. Alexandrov
- A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
- Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces. I
- Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
- Regularity theory for quasilinear elliptic systems and Monge-Ampère equations in two dimensions
- A Hölder estimate for quasiconformal maps between surfaces in Euclidean space
- Elliptic partial differential equations of second order
- Overdetermined elliptic problems in topological disks
- Uniqueness of immersed spheres in three-manifolds
- On complete minimal surfaces
- Characterization of \(f\)-extremal disks
- Some interior regularity theorems for minimal surfaces and an extension of Bernstein's theorem
- Über Flächen mit einer Weingartenschen Ungleichung
- Minimal immersions of surfaces in Euclidean spheres
- On equations of minimal surface type
- Constant mean curvature spheres in homogeneous three-manifolds
- Rotational symmetry of Weingarten spheres in homogeneous three-manifolds
- Contre-exemple à une caractérisation conjecturée de la sphère
- Constant mean curvature spheres in ${\rm Sol}_3$
- Existence and uniqueness of constant mean curvature spheres in
- On Special W-Surfaces
- An outline of the theory of pseudoanalytic functions
- Remark on an Application of Pseudoanalytic Functions
- Linearity of homogeneous order-one solutions to elliptic equations in dimension three
- New counterexamples to A. D. Alexandrov’s hypothesis
- Über Flächen mit einer Relation zwischen den Hauptkrümmungen. Meinem Lehrer Erhard Schmidt in Verehrung und Freundschaft zum 75. Geburtstag gewidmet.
- On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
- Umbilical Points and W-Surfaces
- A proof of Alexandrov's uniqueness theorem for convex surfaces in \(\mathbb R^3\)
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