1 results
Orlicz capacities and applications to some existence questions for elliptic pdes having measure data
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- Journal:
- ESAIM: Control, Optimisation and Calculus of Variations / Volume 9 / January 2003
- Published online by Cambridge University Press:
- 15 September 2003, pp. 317-341
- Print publication:
- January 2003
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- Article
- Export citation
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We study the sequence un, which is solution of $-{\rm div}(a(x,{\nabla}u_n)) + \Phi''(|u_n|)\,u_n= f_n+ g_n$
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.
