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(|\nabla u|)\nabla u)\ge 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
D'AMBROSIO, Lorenzo;
2010-01-01
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(|\nabla u|)\nabla u)\ge f(u) on RN are nonnegative. Some extensions of the result in the framework of subelliptic operators on Carnot groups are considered.File in questo prodotto:
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