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arXiv:2405.11925 [math.AP]AbstractReferencesReviewsResources

The Dirichlet problem for Monge-Ampère type equations on Riemannian manifolds

Weisong Dong, Jinling Niu, Nadilamu Nizhamuding

Published 2024-05-20Version 1

In this paper, we study the Dirichlet problem for Monge-Amp\`ere type equations for $p$-plurisubharmonic functions on Riemannian manifolds. The $a$ $priori$ estimates up to the second order derivatives of solutions are established. The existence of a solution then follows by the continuity method.

Categories: math.AP
Subjects: 35J15, 35B45
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