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Title
O Problema das N-membranas para sistemas degenerados não-lineares

Abstract
We consider the elliptic variational inequality associated with quasilinear nonlinear systems, including those of p-Laplacian type, and with the ordering constraint of the N-membrane problem. We extend the Lewy-Stampacchia inequalities for the solution, obtaining new regularity results for the derivatives of the solution, including in the case of linear operators (p=2) integrability of second derivatives for all q>1. Considering the N-membrane problem as coupled (N-1)-obstacle problem we obtain also the corresponding conditions for the stability of the coincidence sets for the variation of external forces. This is a joint work with A. Azevedo and L. Santos.

Speaker(s)
José Francisco Rodrigues (Universidade de Lisboa)

Date
March 12, 2004

Time
14.30

Room
Room 5.5

 
     
 

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