Alberto Fiorenza

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We study connections between the Boyd indices in Orlicz spaces and the growth conditions frequently met in various applications, for instance, in the regularity theory of variational integrals with non-standard growth. We develop a truncation method for computation of the indices and we also give characterizations of them in terms of the growth exponents(More)
We study the sequence u n , which is solution of −div(a(x, ∇u n)) + Φ (|u n |) u n = f n + g n in Ω an open bounded set of R N and u n = 0 on ∂Ω, when f n 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.
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