We study the sequence , which is solution of in an open bounded set of and on , when tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the -function , and prove a non-existence result.
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.
We prove some quantitatively sharp estimates concerning the Δ₂ and ∇₂ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.