Open Access Research Article

Liouville Theorems for a Class of Linear Second-Order Operators with Nonnegative Characteristic Form

Alessia Elisabetta Kogoj* and Ermanno Lanconelli

Author Affiliations

Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, Bologna 40126, Italy

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Boundary Value Problems 2007, 2007:048232 doi:10.1155/2007/48232

Published: 14 March 2007

Abstract

We report on some Liouville-type theorems for a class of linear second-order partial differential equation with nonnegative characteristic form. The theorems we show improve our previous results.