Article ID Journal Published Year Pages File Type
1709476 Applied Mathematics Letters 2011 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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