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A-priori bounds and positive solutions to a class of quasilinear elliptic equations

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)