Young measure

Young measure

Distributed Parameter Nonlinear Transmission Lines II: Existence of Weak Solutions

Published in Frederick Bloom, Mathematical problems of classical nonlinear electromagnetic theory, 2020

Theorem 5.2 ([48]): For the Young measure v generated by the solutions of the initial-value problems associated with the regularized parabolic system (5.4.3) we have meas(supp v) = 0, i.e., v is a Dirac measure.

On the asymptotic behaviour of a variable exponent power law magnetostatic problem

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Journal Information

Published in Applicable Analysis, 2018

Hélia Serrano

Let be a sequence that converges weakly to v in , so that the sequence converges weakly to 0 in for some . Let be the Young measure associated with . Then, there exists a sequence such that in , , and the sequence converges strongly to 0 in . In particular, the sequence generates the Young measure .

Existence of weak solutions for quasilinear elliptic systems in Orlicz spaces

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Journal Information

Published in Applicable Analysis, 2019

Elhoussine Azroul, Farah Balaadich

Let be a Carathéodory function and a sequence of measurable functions such that in measure and that generates the Young measure . Then provided that the negative part is equiintegrable.

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Distributed Parameter Nonlinear Transmission Lines II: Existence of Weak Solutions

On the asymptotic behaviour of a variable exponent power law magnetostatic problem

Existence of weak solutions for quasilinear elliptic systems in Orlicz spaces