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The Alt-Phillips functional for negative powers
Speaker: Daniela De Silva, Barnard College
Location: Hill 705
Date & time: Tuesday, 04 April 2023 at 1:40PM - 2:40PM
Abstract: We discuss the one-phase free boundary problem associated to the Alt-Phillips functional \[\int_\Omega (|
abla u|^2 + u^\gamma \chi_{\{u>0\}}) dx\]for \(\gamma \in (-2,0).\) We establish partial regularity results for the free boundary and discuss the rigidity of global minimizers when \(\gamma\) approaches the extreme of the admissible values.
Seminar website: Nonlinear Analysis Seminar (https://sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html)
