Finding (many) prescribed mean curvature surfaces in the presence of a strictly stable minimal surfaces.

Abstract: In the last decades, there has been fascinating progress in the variational theory for the area functional – that is, the codimension 1 volume – using tools from PDEs and Geometric Measure Theory, and in connection with the problem of finding prescribed mean curvature (PMC) hypersurfaces.

In this talk, we describe some recent contributions from joint work with Jared Marx-Kuo (Rice University) in which we construct infinitely many PMCs for a large class of prescribing functions in a compact Riemannian manifold containing a strictly stable minimal hypersurface.
Date: Jul 11, 2025 at 12:10:00 h
Venue: Sala de Seminarios DIM, 5to piso Torre Norte, Beauchef 851
Speaker: Pedro Gaspar
Affiliation: Pontificia Universidad Católica de Chile
Coordinator: Comité Organizador EDP
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Posted on Jul 8, 2025 in Differential Equations, Seminars