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.