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

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2006
• Main Authors: Goncharenko, M.V., Prytula, V.I.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106678
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...