Concavity of solutions to degenerate elliptic equations on the sphere

10 Jan 2020 Langford Mat Scheuer Julian

We prove the concavity of classical solutions to a wide class of degenerate elliptic differential equations on strictly convex domains of the unit sphere. The proof employs a suitable two-point maximum principle, a technique which originates in works of Korevaar, Kawohl and Kennington for equations on Euclidean domains... (read more)

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