On the limit polynomial for a solution of an elliptic equation of the fourth order with constant coefficients

• Date: 1998
• Main Authors: Foiad, Sobhi Obaid, Фоиад, Собхи Обаид
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4946
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show that a solution of the Dirichlet problem for an elliptic equation of the fourth order with constant coefficients, whose right-hand side is periodic in all variables except one and exponentially decreases, converges at infinity to a certain polynomial of the first degree in the nonperiodic va...