On unique continuation principles for some elliptic systems
Analysis of PDEs
2021-01-06 v2
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.
Keywords
Cite
@article{arxiv.1909.07948,
title = {On unique continuation principles for some elliptic systems},
author = {Ederson Moreira dos Santos and Gabrielle Nornberg and Nicola Soave},
journal= {arXiv preprint arXiv:1909.07948},
year = {2021}
}
Comments
18 pages