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

Author:

Kovalevskii A. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference6 articles.

1. A. A. Kovalevskii,G-Convergence and Averaging of Nonlinear Elliptic Operators with Different Domains of Definition [in Russian], Preprint No. 90.01, Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk (1990).

2. J.-L. Lions,Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires [Russian translation], Mir, Moscow (1972).

3. A. A. Kovalevskii, ?G-convergence of abstract operators defined on weakly connected spaces,?Dokl. Akad. Nauk Ukr. SSR, No. 9, 27?30 (1991).

4. E. Ya. Khruslov, ?The asymptotic behavior of solutions of the second boundary-value problem under refinement of the boundary of a region,?Mat. Sb.,106, No. 4, 604?621 (1978).

5. E. Ya. Khruslov, ?On the convergence of solutions of the second boundary-value problem in weakly connected regions,? in:Operator Theory in Functional Spaces and Applications [in Russian], Naukova Dumka, Kiev (1981), pp. 129?173.

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