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Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids

Vernadsky National Library of Ukraine

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Title Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids
 
Creator Goncharenko, M.V.
Prytula, V.I.
 
Description The asymptotic behavior of solutions of the family of nonlinear elliptic equations in domains with thin grids concentrating near a hypersurface when measure of the wires tends to zero and the density tends to infinity is investigated. The homogenized equations and the homogenized boundary conditions are derived. The homogenization technique is based on applying of the abstract theorem on homogenization of the nonlinear variational functionals in the Sobolev-Orlicz spaces.
 
Date 2016-10-02T18:31:41Z
2016-10-02T18:31:41Z
2006
 
Type Article
 
Identifier Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids / M.V. Goncharenko, V.I. Prytula // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 4. — С. 424-448. — Бібліогр.: 6 назв. — англ.
1812-9471
http://dspace.nbuv.gov.ua/handle/123456789/106678
 
Language en
 
Relation Журнал математической физики, анализа, геометрии
 
Publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України