On theg-convergence of nonlinear elliptic operators related to the dirichlet problem in variable domains

• Date: 1993
• Main Authors: Kovalevskii, A. A., Ковалевский, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5888
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A notion of $G$-convergence of operators $A_s :\; W_s \rightarrow W_s^*$ to the operator $A:\; W \rightarrow W^*$ is introduced and studied under certain connection conditions for the Banach spaces $W_s,\; s = 1, 2, ... ,$ and the Banach space $W$. It has been established that the connection condi...