Averaging of the Neumann problems for nonlinear elliptic equations in domains with accumulators

• Datum: 1995
• Hauptverfasser: Kovalevskii, A. A., Ковалевский, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5404
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the asymptotic behavior of solutions of the Neumann problems for nonlinear elliptic equations in domains with accumulators, which simulate porous media. An effective description is given for an averaged problem, which, in the case of simple accumulators, is a problem for the system of a fun...