7–11 Sept 2026
Humboldt Universität zu Berlin
Europe/Berlin timezone

On the regularity of minimizers arising from singular minimal surface-like energies

11 Sept 2026, 09:00
30m
Main Building/Floor 1-Room 2097 - Lecture Hall (HU (Main Building))

Main Building/Floor 1-Room 2097 - Lecture Hall

HU (Main Building)

HU Berlin Main Building Unter den Linden 6 10117 Berlin
142
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Degenerate PDEs and Free Boundary Problems Degenerate PDEs and Free Boundary Problems

Speaker

Aelson Sobral (King Abdullah University of Science and Technology)

Description

We develop a unified variational framework for singular energies that arise as analytic models in Simon's symmetric minimal surface program. Motivated by the linearized profile $\Delta u \sim u^{-1}$, we study local minimizers of energies whose potential $\sigma$ may diverge at the origin. This class encompasses both the logarithmic potentials linked to the geometry of minimal cones and the negative-power potentials appearing in modern free boundary models.

Authors

Aelson Sobral (King Abdullah University of Science and Technology) Dr Eduardo Teixeira (Oklahoma State University) José Miguel Urbano (KAUST)

Presentation materials

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