2019
Том 71
№ 11

Averaging of Neumann problems for nonlinear elliptic equations in regions of framework type with thin channels

Kovalevskii A. A.

Abstract

The $G$-convergence of operators of the Neumann problem is established in regions with framework-type periodic structure with thin channels. A representation of the coefficients of a $G$-limiting operator is obtained.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 11, pp 1690-1702.

Citation Example: Kovalevskii A. A. Averaging of Neumann problems for nonlinear elliptic equations in regions of framework type with thin channels // Ukr. Mat. Zh. - 1993. - 45, № 11. - pp. 1503–1513.

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