DEFINITION AND EXISTENCE OF RENORMALIZED SOLUTIONS OF ELLIPTIC-EQUATIONS WITH GENERAL MEASURE DATA

Authors
DALMASO G MURAT F ORSINA L PRIGNET A
Citation
G. Dalmaso et al., DEFINITION AND EXISTENCE OF RENORMALIZED SOLUTIONS OF ELLIPTIC-EQUATIONS WITH GENERAL MEASURE DATA, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(5), 1997, pp. 481-486
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
5
Year of publication
1997
Pages
481 - 486
Database
ISI
SICI code
0764-4442(1997)325:5<481:DAEORS>2.0.ZU;2-B
Abstract
We introduce a new definition of solution for the nonlinear monotone e lliptic problem -div(a(x, del u)) = mu in Omega, u = 0 on partial deri vative Omega, where mu is a Radon measure with bounded variation on Om ega. We prove the existence of such a solution, a stability result, an d partial uniqueness results.