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Georgian Mathematical Journal 13 (2006), No. 3, 573--579 Copyright Heldermann Verlag 2006 The Dirichlet Problem for a Second Order Elliptic Equation Degenerating on the Whole Boundary When the Boundary Condition Is Satisfied in the Presence of Some Weight Mikheil Usanetashvili Dept. of Mathematics No. 99, Georgian Technical University, 77 M. Kostava Street, Tbilisi 0175, Georgia The first boundary value problem with weight is investigated for a general-type second order elliptic type equation degenerating on the whole boundary. Keywords: Dirichlet problem, degenerating elliptic equation, weight function. MSC: 35J70 [ Fulltext-pdf (161 KB)] for subscribers only. |