Analysis seminar series.
https://sites.google.com/math.iitb.ac.in/geometric-analysis/home
Speaker: Pierre-Damien Thizy (Institut Camille Jordan, Université Claude
Bernard Lyon 1, France)
Time: February 24, Thursday, 5:30 pm
Title: Large blow-up sets for Q-curvature equations
Abstract: On a bounded domain of the Euclidean space $\mathbb{R}^{2m}$,
m>1, Adimurthi, Robert and Struwe pointed out that, even assuming a volume
bound $\int e^{2mu} dx\le C$, some blow-up solutions for prescribed
Q-curvature equations $(-\Delta)^m u= Q e^{2m u}$ without boundary
conditions may blow-up not only at points, but also on the zero set of
some nonpositive nontrivial polyharmonic function. This is in striking
contrast with the two dimensional case (m=1). During this talk, we will
discuss the construction of such solutions which involve (possible
generalizations of) the Walsh-Lebesgue theorem and some issues about
elliptic problems with measure data.
Google Meet joining info
Video call link:
https://meet.google.com/efe-orej-zet
Or dial: (US) +1 651-560-3980 PIN: 954 349 109#