JournalsaihpcVol. 38, No. 5pp. 1667–1680

On unique continuation principles for some elliptic systems

  • Ederson Moreira dos Santos

    Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Brazil

  • Gabrielle Nornberg

    Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Brazil

  • Nicola Soave

    Dipartimento di Matematica, Politecnico di Milano, Italy
On unique continuation principles for some elliptic systems cover

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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.

Cite this article

Ederson Moreira dos Santos, Gabrielle Nornberg, Nicola Soave, On unique continuation principles for some elliptic systems. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 5, pp. 1667–1680

DOI 10.1016/J.ANIHPC.2020.12.001