Abstract
We study oscillation and concentration effects for sequences of compositions $\{ f(u^\nu)\}_{\nu\in\mathbb N}$ of $\mu$-measurable functions $u^\nu\colon \Omega\rightarrow{\mathbb R}^{m}$ where $\Omega$ is the compact subset of ${\mathbb R}^n$ and $f$ is the (possibly) discontinuous function. The limits are described in terms of Young measures which can control discontinuous functions recently introduced in [A. Kałamajska, On Young measures controlling discontinuous functions, J. Conv. Anal. 13 (2006), no. 1, 177–192].
Citation
Agnieszka Kałamajska. "Oscillation and concentration effects described by Young measures which control discontinuous functions." Topol. Methods Nonlinear Anal. 31 (1) 111 - 138, 2008.
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