Gradient estimates and hopf-Oleinik lemma for quasilinear non-uniformly elliptic o...
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Author(s): |
Montenegro, M
;
de Paiva, FOV
;
Costa, D
;
Lopes, O
;
Manasevich, R
;
Rabinowitz, P
;
Ruf, B
;
Tomei, C
Total Authors: 8
|
Document type: | Journal article |
Source: | CONTRIBUTIONS TO NONLINEAR ANALYSIS; v. 66, p. 2-pg., 2006-01-01. |
Abstract | |
We prove a-priori estimates for positive solutions u of the equation -div (vertical bar del u vertical bar(p-2)del U) = f (u) on a bounded domain Omega with u = 0 on partial derivative Omega and 1 < p < 2. Whenever f (u) = u(q) our results include the range p-1 < q < p*-1 and nonconvex domains. (AU) |