| Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
|---|---|---|
| Page(s) | 317 - 341 | |
| DOI | https://doi.org/10.1051/cocv:2003015 | |
| Published online | 15 September 2003 | |
Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
1
Dipartimento di
Costruzioni e Metodi Matematici in Architettura, Università di Napoli,
via Monteoliveto 3, 80134 Napoli, Italy, and Istituto per le Applicazioni del
Calcolo “Mauro Picone", Sezione di Napoli, Consiglio Nazionale
delle Ricerche, via Pietro Castellino 111, 80131 Napoli, Italy; fiorenza@unina.it.
2
Mathématiques, Université d'Orléans, rue de
Chartres, 45067 Orléans Cedex 2, France; prignet@labomath.univ-orleans.fr.
Received:
27
June
2002
Revised:
17
January
2003
We study the sequence un, which is solution
of 
in Ω an
open bounded
set of RN and un= 0 on ∂Ω, when fn tends to a
measure concentrated on a set of null Orlicz-capacity. We consider the relation
between this capacity and the N-function Φ, and prove a non-existence
result.
Mathematics Subject Classification: 35J60 / 46E30 / 31C45
Key words: Elliptic equation / Orlicz space / measure / capacity.
© EDP Sciences, SMAI, 2003
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