In this paper we start the investigation of concavity properties of solutions to systems of PDE's in convex domains. In particular we prove that suitable powers of solutions to some weakly coupled elliptic and parabolic systems are concave.
Power concavity in weakly coupled elliptic and parabolic systems / Ishige, Kazuhiro; Nakagawa, Kazushige; Salani, Paolo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 131:(2016), pp. 81-97. [10.1016/j.na.2015.08.002]
Power concavity in weakly coupled elliptic and parabolic systems
SALANI, PAOLO
2016
Abstract
In this paper we start the investigation of concavity properties of solutions to systems of PDE's in convex domains. In particular we prove that suitable powers of solutions to some weakly coupled elliptic and parabolic systems are concave.
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