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On unique continuation principles for some elliptic systems.
- Source :
-
Annales de l'Institut Henri Poincaré C . Sep2021, Vol. 38 Issue 5, p1667-1680. 14p. - Publication Year :
- 2021
-
Abstract
- In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application, we obtain nonexistence of nontrivial (not necessarily positive) radial solutions for the Lane-Emden system posed in a ball, in the critical and supercritical regimes. Some of our results also apply to general fully nonlinear operators, such as Pucci's extremal operators, being new even for scalar equations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONTINUATION methods
*NONLINEAR operators
Subjects
Details
- Language :
- English
- ISSN :
- 02941449
- Volume :
- 38
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Annales de l'Institut Henri Poincaré C
- Publication Type :
- Academic Journal
- Accession number :
- 151951042
- Full Text :
- https://doi.org/10.1016/j.anihpc.2020.12.001