On the first boundary value problem for the class of elliptic systems degenerating at an inner point

Abstract

The Dirichlet type problem for the weakly related elliptic systems of the second order degenerating at an inner point is discussed. Existence and uniqueness of the solution in the Holder class of the vector‐functions is proved.

Nagrinejamas silpnai susietu antros eilees elipsiniu lygčiu, išsigimstančiu vidiniame srities taške, Dirichle tipo uzvdavinys. Irodyta šio uždavinio sprendinio egzistencija ir vienatis Hiolderio vektoriu‐funkciju klaseje.