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- W4287689108 abstract "This paper forms part of our ongoing works on the existence of complete non-compact free boundary minimal planes in an asymptotically flat three-dimensional Riemannian manifold with boundary. We set up the degree theory for the space of properly embedded partially free boundary minimal half disks in a three-dimensional half ball. We prove that the space of such surfaces is a Banach manifold. The projection map which projects partially free boundary minimal half disks into their Dirichlet boundaries is a Fredholm map of index zero and has a well-defined mod-2 degree under suitable assumptions. The new major analytic difficulty is to analyze the properties of a second order elliptic operator with mix boundary conditions on a domain with corners." @default.
- W4287689108 created "2022-07-26" @default.
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- W4287689108 date "2020-08-14" @default.
- W4287689108 modified "2023-09-24" @default.
- W4287689108 title "The space of partially free boundary minimal half disks" @default.
- W4287689108 hasPublicationYear "2020" @default.
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