Galerkin approximations for the Dirichlet problem with the -Laplacian

Galerkin approximations for the Dirichlet problem with the -Laplacian

We study the Dirichlet problem with -Laplacian in a bounded domain, where is a measurable function whose range is bounded away from and . A system of Galerkin approximations is constructed for the so-called -solution or any other variational solution, and energy norm error estimates are proved. Refe...

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Veröffentlicht in:Sbornik. Mathematics 2019-01, Vol.210 (1), p.145-164
Hauptverfasser: Pastukhova, S. E., Yakubovich, D. A.
Format: Artikel
Sprache:eng
Schlagworte:
approximation error estimate
Dirichlet problem
equations with variable order of nonlinearity
Galerkin approximants
Galerkin method
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Zusammenfassung:We study the Dirichlet problem with -Laplacian in a bounded domain, where is a measurable function whose range is bounded away from and . A system of Galerkin approximations is constructed for the so-called -solution or any other variational solution, and energy norm error estimates are proved. References: 19 items.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM9019