Riv.Mat.Univ.Parma (7) 5 (2006)

FRANCESCO LEONETTI and PIER VINCENZO PETRICCA

Existence for some vectorial elliptic problems with measure data

Pages 33-46
Received: 17 November 2005    Revised: 2 March 2006
Mathematics Subject Classification (2000): 35J60 - 35J55

Supported by MIUR, GNAMPA, INdAM and CARISPAQ

Abstract: We study the Dirichlet problem

where
with n ³ 3, N ³ 1, W is a bounded open set and µ = (µ1,..., µN) is a finite Radon measure on Rn with values into Rn . Under some restrictions on the exponents pi³ 2, prove existence of a weak solution u.

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