Title of article
On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation
Author/Authors
Avalishvili، نويسنده , , G. and Avalishvili، نويسنده , , M. and Gordeziani، نويسنده , , D.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
6
From page
566
To page
571
Abstract
This work is devoted to the investigation of the nonclassical problem for a multidimensional elliptic equation with two integral boundary conditions. By introducing special multipliers we prove the uniqueness of the solution and obtain new a priori estimates, which permit one to establish the existence of a solution in the corresponding Sobolev spaces.
Keywords
Boundary value problem , PDE of elliptic type , Integral boundary condition , Existence and uniqueness
Journal title
Applied Mathematics Letters
Serial Year
2011
Journal title
Applied Mathematics Letters
Record number
1527732
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