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inhomogeneous power-law functionals

Proceedings of the Edinburgh Mathematical Society (1)

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Γ-Convergence of Inhomogeneous Functionals in Orlicz–Sobolev Spaces
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Marian Bocea, Mihai Mihăilescu
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 58 / Issue 2 / June 2015

Published online by Cambridge University Press:

05 January 2015, pp. 287-303
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The asymptotic behaviour of inhomogeneous power-law type functionals is undertaken via De Giorgi’s Γ-convergence. Our results generalize recent work dealing with the asymptotic behaviour of power-law functionals acting on fields belonging to variable exponent Lebesgue and Sobolev spaces to the Orlicz–Sobolev setting.