We consider the Dirichlet problem -Delta(m)- (u) = f (u) in Omega with zero Dirichlet boundary conditions. We prove local summability properties of 1/vertical bar Du vertical bar and we exploit these results to give geometric characterizations of the critical set Z = { x is an element of Omega vertical bar Du(x) = 0}. We extend to the case of changing sign nonlinearities some results known in the case f (s) > 0 for s > 0.
Some results on the qualitative properties of positive solutions of quasilinear elliptic equations / Sciunzi B. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 14:3-4(2007), pp. 315-334.
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Titolo: | Some results on the qualitative properties of positive solutions of quasilinear elliptic equations |
Autori: | |
Data di pubblicazione: | 2007 |
Rivista: | |
Citazione: | Some results on the qualitative properties of positive solutions of quasilinear elliptic equations / Sciunzi B. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 14:3-4(2007), pp. 315-334. |
Handle: | http://hdl.handle.net/20.500.11770/132682 |
Appare nelle tipologie: | 1.1 Articolo in rivista |