Soap bubbles in \(\mathbb{R}^ 2\) and in surfaces
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Publication:1343693
DOI10.2140/pjm.1994.165.347zbMath0820.53002OpenAlexW1531384388MaRDI QIDQ1343693
Publication date: 30 January 1995
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1994.165.347
Related Items (25)
Longest minimal length partitions ⋮ Clusters minimizing area plus length of singular curves ⋮ The double bubble problem on the flat two-torus ⋮ Minimal cluster computation for four planar regions with the same area ⋮ The geometry of the triple junction between three fluids in equilibrium ⋮ The least-perimeter partition of a sphere into four equal areas ⋮ Weak approach to planar soap bubble clusters ⋮ Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy ⋮ Double bubbles in hyperbolic surfaces ⋮ On the Steiner property for planar minimizing clusters. The isotropic case ⋮ Symmetric double bubbles in the Grushin plane ⋮ On the Steiner property for planar minimizing clusters. The anisotropic case ⋮ The standard double bubble is the unique stable double bubble in $\mathbf {R}^2$ ⋮ Minimal clusters of four planar regions with the same area ⋮ Geodesic nets on the 2-sphere ⋮ The shortest enclosure of two connected regions in a corner ⋮ The quadruple planar bubble enclosing equal areas is symmetric ⋮ Geodesics and soap bubbles in surfaces ⋮ Numerical simulations of immiscible fluid clusters ⋮ The structure of area-minimizing double bubbles ⋮ Perimeter-minimizing triple bubbles in the plane and the 2-sphere ⋮ Instability of the wet \(X\) soap film ⋮ The Gaussian double-bubble and multi-bubble conjectures ⋮ Existence of surface energy minimizing partitions of ℝⁿ satisfying volume constraints ⋮ The Hexagonal Honeycomb Conjecture
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