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On the application of the properties of summability of solutions to nonlinear fourth-order equations with strengthened ellipticity to homogenization problems - MaRDI portal

On the application of the properties of summability of solutions to nonlinear fourth-order equations with strengthened ellipticity to homogenization problems (Q2901669)

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scientific article; zbMATH DE number 6062199
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English
On the application of the properties of summability of solutions to nonlinear fourth-order equations with strengthened ellipticity to homogenization problems
scientific article; zbMATH DE number 6062199

    Statements

    31 July 2012
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    higher order nonlinear elliptic equations
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    generalized solutions
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    strengthened ellipticity
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    On the application of the properties of summability of solutions to nonlinear fourth-order equations with strengthened ellipticity to homogenization problems (English)
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    This paper gives applications of results obtained in \textit{A. A. Kovalevskii} and \textit{M. V. Voitovich} [Ukr. Mat. Zh. 58, No. 11, 1511--1524 (2006; Zbl 1150.35034)] results about increasing summability of nonlinear fourth-order equations with strengthened ellipticity to investigations of the character of convergence in homogenization problems.
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