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Existence and uniqueness of standard bubble clusters of given volumes in \(\mathbb R^n\)

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Publication:700482
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DOI10.4310/AJM.2001.v5.n1.a3zbMath1018.53005MaRDI QIDQ700482

Angel Montesinos Amilibia

Publication date: 22 October 2002

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

constant mean curvaturebubble clustersstandard bubbles


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)


Related Items (7)

On the geometry of the cross-cap in the Minkoswki 3-space and binary differential equations ⋮ Weak approach to planar soap bubble clusters ⋮ A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters ⋮ Minimal clusters of four planar regions with the same area ⋮ The quadruple planar bubble enclosing equal areas is symmetric ⋮ Perimeter-minimizing triple bubbles in the plane and the 2-sphere ⋮ The Gaussian double-bubble and multi-bubble conjectures







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