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- W4367000323 abstract "We prove the existence of embedded non planar free boundary minimal disks into rotationally symmetric ellipsoids of $mathbb{R}^3$. The construction relies on the optimization of combinations of first and second Steklov eigenvalues renormalized by the length of the boundary, among metrics on the disk. We also prove that non planar free boundary harmonic maps from a disk into a ellipsoid of $mathbb{R}^3$ such that the coordinate functions are first or second Steklov eigenfunctions with respect to the associated critical metric is a minimal immersion (without branched points) and that if the critical metric is even with respect to the coordinates of the disk, then the minimal immersion is an embedding." @default.
- W4367000323 created "2023-04-27" @default.
- W4367000323 creator A5054778817 @default.
- W4367000323 date "2023-04-24" @default.
- W4367000323 modified "2023-09-24" @default.
- W4367000323 title "Non planar free boundary minimal disks into ellipsoids" @default.
- W4367000323 doi "https://doi.org/10.48550/arxiv.2304.12111" @default.
- W4367000323 hasPublicationYear "2023" @default.
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