We study the sequence u(n), which is solution of -div(a(x, del u(n))) + Phi" (\u(n)\) u(n) = f(n) + g(n) in Omega an open bounded set of R-N and u(n) = 0 on partial derivativeOmega, 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 Phi, and prove a non-existence result.
Orlicz capacities and applications to some existence questions for elliptic PDES having measure data / Fiorenza, Alberto; A., Prignet. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - STAMPA. - 9:(2003), pp. 317-341. [10.1051/cocv:2003015]
Orlicz capacities and applications to some existence questions for elliptic PDES having measure data
FIORENZA, ALBERTO;
2003
Abstract
We study the sequence u(n), which is solution of -div(a(x, del u(n))) + Phi" (\u(n)\) u(n) = f(n) + g(n) in Omega an open bounded set of R-N and u(n) = 0 on partial derivativeOmega, 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 Phi, and prove a non-existence result.File in questo prodotto:
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