Abstract. Let f : R ! R be a continuous function. It is shown that under certain assumptions on f and A: R ! R+ weak C 1 solutions of the differential inequality −div(A(|ru|)ru) > f(u) on RN are nonnegative. Some extensions of the result in the framework of subelliptic operators on Carnot groups are considered.

Nonnegative solutions of some quasilinear elliptic inequalities and applications

MITIDIERI, ENZO;
2010-01-01

Abstract

Abstract. Let f : R ! R be a continuous function. It is shown that under certain assumptions on f and A: R ! R+ weak C 1 solutions of the differential inequality −div(A(|ru|)ru) > f(u) on RN are nonnegative. Some extensions of the result in the framework of subelliptic operators on Carnot groups are considered.
2010
http://www.turpion.org/php/paper.phtml?journal_id=sm&paper_id=4094
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2290809
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