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Acta Mathematica Vietnamica

BOUNDARY VALUE CONJUGATION PROBLEMS FOR ELLIPTIC EQUATIONS IN VARIABLE DOMAINS

icon-email HOANG QUOC TOAN

Abstract

We study the behaviour of the solutions of boundary value conjugation problems for high order elliptic equations in variable domains (Ωt,Gt) (0<t1) which depend smoothly on a parameter t in Krein’s sense. Considering the domain $$ as the limit of domains (Ω0,G0) whent tends 0, we prove the existence and the uniqueness of the solution of the boundary value conjugation problem in (Ω0,G0).