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Nonlinear Analysis

Rigidity of global solutions to the thin obstacle problem

Hui Yu, National University of Singapore

Location:  Hill 705
Date & time: Tuesday, 23 April 2024 at 1:40PM - 2:40PM

The thin obstacle problem is a free boundary problem concerning the shape of an elastic membrane resting on a lower-dimensional obstacle. In this talk, we discuss some rigidity properties of solutions in the entire space. We see very rigid behaviors when the solution grows quadratically at infinity. When the solution has higher rate of growth, we see no rigidity. This talk is based on joint works with Simon Eberle (BCAM) and Xavier Fernandez-Real (EPFL).