Journal title
Calculus of Variations and Partial Differential Equations
DOI
10.1007/s00526-017-1192-y
Volume
56
Last updated
2024-03-07T17:55:05.917+00:00
Page
99-
Abstract
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.
Symplectic ID
692399
Submitted to ORA
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Publication type
Journal Article
Publication date
19 Jun 2017