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Nonnegative solutions of some quasilinear elliptic inequalities and applications

D'AMBROSIO, Lorenzo
•
Mitidieri E.
2010
  • journal article

Periodico
SBORNIK MATHEMATICS
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.
DOI
10.1070/SM2010v201n06ABEH004094
WOS
WOS:000281540800003
Archivio
https://hdl.handle.net/11390/1267637
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-77958520837
http://iopscience.iop.org/1064-5616/201/6/A03
https://ricerca.unityfvg.it/handle/11390/1267637
Diritti
closed access
Soggetti
  • differential inequali...

  • p-Laplacian

  • nonnegative solution

  • subelliptic operator

  • Carnot groups

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