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UID:117879351bdcf6b6e25b8f3a4b979a82
CATEGORIES:Nonlinear Analysis
CREATED:20230403T090037
SUMMARY: The Alt-Phillips functional for negative powers
LOCATION:Hill 705
DESCRIPTION:<p><strong style="color: #201f1e; font-family: Calibri, Arial, Helvetica, s
 ans-serif; font-size: 15px; letter-spacing: normal; orphans: 2; text-align:
  left; text-indent: 0px; text-transform: none; white-space: normal; widows:
  2; word-spacing: 0px; background-color: #ffffff;">Abstract:&nbsp;</strong>
 We discuss the one-phase free boundary problem associated to the Alt-Philli
 ps functional $$\int_\Omega (|<br>abla u|^2 + u^\gamma \chi_{\{u&gt;0\}}) d
 x$$ for $\gamma \in (-2,0).$ We establish partial regularity results for th
 e free boundary and discuss the rigidity of global minimizers when $\gamma$
  approaches the extreme of the admissible values.&nbsp;</p><p style="margin
 : 0in 0in 0.0001pt; color: #201f1e; font-weight: 400; letter-spacing: norma
 l; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; w
 hite-space: normal; widows: 2; word-spacing: 0px; background-color: #ffffff
 ; font-size: 12pt; font-family: 'Times New Roman', serif;">Seminar website:
  &nbsp;Nonlinear Analysis Seminar&nbsp; &nbsp; (<a href="https://sites.math
 .rutgers.edu/~yyli/NonlinearAnalysisSeminar.html" style="border: 0px; font:
  inherit; margin: 0px; padding: 0px; vertical-align: baseline;" data-auth="
 NotApplicable" data-safelink="true" data-linkindex="0"></a><a href="https:/
 /sites.math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html">https://sites.
 math.rutgers.edu/~yyli/NonlinearAnalysisSeminar.html</a>)</p>
CONTACT:Speaker: Daniela De Silva, Barnard College
DTSTAMP:20260827T141839
DTSTART;TZID=America/New_York:20230404T134000
DTEND;TZID=America/New_York:20230404T144000
SEQUENCE:0
TRANSP:OPAQUE
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