Journal article
Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 744.9KB)
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- Publisher copy:
- 10.1007/s00526-017-1192-y
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Authors
Bibliographic Details
- Publisher:
- Springer Verlag Publisher's website
- Journal:
- Calculus of Variations and Partial Differential Equations Journal website
- Volume:
- 56
- Pages:
- 99
- Publication date:
- 2017-06-19
- Acceptance date:
- 2017-05-04
- DOI:
- EISSN:
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1432-0835
- ISSN:
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0944-2669
- Source identifiers:
-
692399
Item Description
- Pubs id:
-
pubs:692399
- UUID:
-
uuid:26a62566-e56c-4010-99c2-2bfaeeb7a5b2
- Local pid:
- pubs:692399
- Deposit date:
- 2017-05-05
Terms of use
- Copyright holder:
- Li, Y and Nguyen, L
- Copyright date:
- 2017
- Notes:
- © The Author(s) 2017. Open Access: this article is distributed under the terms of the Creative Commons Attribution 4.0 International License
- Licence:
- CC Attribution (CC BY)
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