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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APA Style

Li, Y., & Nguyen, L. (2017). Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations. Calculus of Variations and Partial Differential Equations, 56, 99.

MLA Style

Li, Y, and L Nguyen. “Symmetry, Quantitative Liouville Theorems and Analysis of Large Solutions of Conformally Invariant Fully Nonlinear Elliptic Equations.” Calculus of Variations and Partial Differential Equations, vol. 56, 2017, p. 99.

Chicago Style

Li, Y, and L Nguyen. 2017. “Symmetry, Quantitative Liouville Theorems and Analysis of Large Solutions of Conformally Invariant Fully Nonlinear Elliptic Equations.” Calculus of Variations and Partial Differential Equations 56: 99.
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Files:: li-nguyen.pdf

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Publisher copy:: 10.1007/s00526-017-1192-y

Authors

+ Li, Y More by this author

Role:: Author

+ Nguyen, L More by this author

Institution:: University of Oxford
Oxford college:: St Edmund Hall
Role:: Author

Publisher:: Springer Verlag
Journal:: Calculus of Variations and Partial Differential Equations More from this journal
Volume:: 56
Pages:: 99
Publication date:: 2017-06-19
Acceptance date:: 2017-05-04
DOI:: 10.1007/s00526-017-1192-y
EISSN:: 1432-0835
ISSN:: 0944-2669

Pubs id:: pubs:692399
UUID:: uuid:26a62566-e56c-4010-99c2-2bfaeeb7a5b2
Local pid:: pubs:692399
Source identifiers:: 692399
Deposit date:: 2017-05-05
ARK identifier:: ark:/29072/ora_26a62566e56c401099c22bfaeeb7a5b2

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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