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Joint Princeton-Rutgers Seminar on Geometric PDE's

Blow up analysis of solutions of conformally invariant fully nonlinear elliptic equations

Location:  Other - Princeton - Fine Hall 224
Date & time: Friday, 21 October 2016 at 2:00PM - 2:11PM

Yanyan Li, Rutgers University: We establish blow-up profiles for any blowing-up sequence of solutions of general conformally invariant fully nonlinear elliptic equations on Euclidean domains. We prove that (i) the distance between blow-up points is bounded from below by a universal positive number, (ii) the solutions are very close to a single standard bubble in a universal positive distance around each blow-up point, and (iii) the heights of these bubbles are comparable by a universal factor. As an application of this result, we establish a quantitative Liouville theorem.

This is a joint work with Luc Nguyen.

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Department of Mathematics

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Rutgers University
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