4 problems

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Morgan's standard double-bubble conjecture for density $r^p$
Morgan's conjecture. The isoperimetric cluster for two volumes in $\mathbf{R}^n$ with density $r^p$ is the Euclidean standard double bubble with a vertex at the origin.
Conjectureopendensity-functions double-bubbles isoperimetric-clustersarXiv posted 2 days ago
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Classification conjecture for double bubbles in radial log-convex density
Higher-dimensional double-bubble classification conjecture. A perimeter-minimizing double bubble is either
Conjectureopendouble-bubbles isoperimetric-problems weighted-geometryarXiv posted 2 days ago
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One-dimensional behavior conjecture for higher-dimensional double bubbles
Higher-dimensional behavior conjecture. Some of the behavior on $\mathbb{R}^1$ will recur in higher dimensions.
Conjectureopendouble-bubbles isoperimetric-problems weighted-geometryarXiv posted 2 days ago
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Stability of standard planar double bubbles under area-preserving gradient flows
Let a standard planar double bubble evolve by a sufficiently smooth area-preserving gradient flow. Stability conjecture. Standard planar double bubbles are stable under sufficientl…
Conjectureopendouble-bubbles geometric-flows stabilityarXiv posted 2 days ago

Morgan's standard double-bubble conjecture for density rpr^prp