Note on a differential inequality

Daniel Barlet (1, 2)

1 IECL - Institut Élie Cartan de Lorraine
2 IUF - Institut universitaire de France

We study a second order differential inequality for a function of one real variable which allows to control the behaviour at the origin of a positive C 2 function F on a punctured ball with center 0 in R n (n ≥ 2) such that ∆(F)(x) is bounded by C.||x|| −2 .F (x) near x = 0. AMS Classification. 26 A 12-34 E 10-35 B 09-35 B 40.

Domaines: Analyse classique [math.CA]; Variables complexes [math.CV]

Daniel Barlet. Note on a differential inequality. 2018. ⟨hal-01872464⟩