On unique continuation principles for some elliptic systems

Autor(es)

dos Santos, Ederson Moreira ^[1] ; Nornberg, Gabrielle ^[1] ; Soave, Nicola ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Paulo - Brazil

^[2] Politecn Milan, Dipartimento Matemat, Milan - Italy

• Tipo de documento: Artigo Científico
• Fonte: ANNALES DE L' INSTITUT HENRI POINCARÉ-ANALYSE NON LINÉAIRE; v. 38, n. 5, p. 1667-1680, SEP-OCT 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/04000-9 - Existência e multiplicidade de soluções para problemas elípticos com crescimento quadrático no gradiente
• Beneficiário: Gabrielle Saller Nornberg
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado