Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 917201, 21 pages
doi:10.1155/2011/917201
Research Article

Sharp Nonexistence Results for a Linear Elliptic Inequality Involving Hardy and Leray Potentials

Mouhamed Moustapha Fall1 and Roberta Musina2

1Institut für Mathematik Goethe-Universität Frankfurt, Robert-Mayer-Straße 10, 60054 Frankfurt, Germany
2Dipartimento di Matematica ed Informatica, Università di Udine, via delle Scienze, 206-33100 Udine, Italy

Received 4 January 2011; Accepted 4 March 2011

Academic Editor: Marta García-Huidobro

Copyright © 2011 Mouhamed Moustapha Fall and Roberta Musina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We deal with nonnegative distributional supersolutions for a class of linear elliptic equations involving inverse-square potentials and logarithmic weights. We prove sharp nonexistence results.