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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On unique continuation principles for some elliptic systems

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Author(s):
dos Santos, Ederson Moreira [1] ; Nornberg, Gabrielle [1] ; Soave, Nicola [2]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Paulo - Brazil
[2] Politecn Milan, Dipartimento Matemat, Milan - Italy
Total Affiliations: 2
Document type: Journal article
Source: ANNALES DE L' INSTITUT HENRI POINCARÉ-ANALYSE NON LINÉAIRE; v. 38, n. 5, p. 1667-1680, SEP-OCT 2021.
Web of Science Citations: 0
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. (C) 2020 L'Association Publications de l'Institut Henri Poincare. Published by Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 18/04000-9 - EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR ELLIPTIC PROBLEMS WITH QUADRATIC GROWTH IN THE GRADIENT
Grantee:Gabrielle Saller Nornberg
Support Opportunities: Scholarships in Brazil - Post-Doctoral