Vol. 196, No. 2, 2000

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A fully anisotropic Sobolev inequality

Andrea Cianchi

Vol. 196 (2000), No. 2, 283–294
Abstract

We prove a Sobolev type inequality for real-valued weakly differentiable functions on n, decaying to 0 at infinity, involving the integral of a convex function of the full gradient.

Milestones
Received: 21 September 1998
Revised: 29 October 1999
Published: 1 December 2000
Authors
Andrea Cianchi
Dipartimento di Matematica e Applicazioni per l’Architettura
Universita di Firenze
Via dell’ Agnolo 14
Piazza Ghiberti 27
50122 Firenze
Italy