Volume 9, February 2003
|Page(s)||317 - 341|
|Published online||15 September 2003|
Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
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; firstname.lastname@example.org.
2 Mathématiques, Université d'Orléans, rue de Chartres, 45067 Orléans Cedex 2, France; email@example.com.
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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