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Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 1-2: Homogenization and Qualitative Theory of Differential Equations dedicated to the memory of Vassily Vassilievich Zhikov
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Articles

Galerkin approximations in problems with anisotropic p(·)-Laplacian

S. E. PastukhovaMathematics Department, Moscow Technological University, Moscow, Russia.Correspondence[email protected]
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D. A. YakubovichDepartment of Mathematical Education and Information Technology, A.G. and N.G. Stoletov Vladimir State University, Vladimir, Russia.View further author information
Pages 345-361 | Received 02 Oct 2017, Accepted 08 Mar 2018, Published online: 21 Mar 2018

References

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  • Diening L , Harjulehto P , Hästö P , et al . Lebesgue and Sobolev spaces with variable exponents. Berlin, Heidelberg: Springer; 2011.
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  • Zhikov VV . On Lavrentiev’s effect. Dokl Ross Akad Nauk. 1995;345(1):10–14. Russian.
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  • Surnachev MD , Zhikov VV . On existence and uniqueness classes for the Cauchy problem for parabolic equations of the p-Laplace type. Commun Pure Appl Anal. 2013;12(4):1783–1812.
  • Lindqvist P . Notes on the p-Laplace equation. Report. Jyväskylä: University of of Jyväskylä, Department of Mathematics and Statistics; 2006.

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