\(\Gamma\)-convergence of the energy functionals for the variable exponent \(p(\cdot)\)-Laplacian and stability of the minimizers with respect to integrability (Q1790628)

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scientific article; zbMATH DE number 6946527
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\(\Gamma\)-convergence of the energy functionals for the variable exponent \(p(\cdot)\)-Laplacian and stability of the minimizers with respect to integrability
scientific article; zbMATH DE number 6946527

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    \(\Gamma\)-convergence of the energy functionals for the variable exponent \(p(\cdot)\)-Laplacian and stability of the minimizers with respect to integrability (English)
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    2 October 2018
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    The authors study the \(\Gamma\)-convergence of the energy functional associated to a Laplace-like equation involving the variable exponent \(p(\cdot)\)-Laplacian. Their main result concerns the stability of the minimizers with respect to``integrability'' (i.e. as \(p(\cdot)\) goes to some \(q(\cdot)\)).
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    stability of the minimizers
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    \(p(x)\)-Laplacian
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