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Paper's Title:

A Regularity of the Weak Solution Gradient of the Dirichlet Problem for Divergent Form Elliptic Equations in Morrey Spaces

Author(s):

Nicky K. Tumalun and Philotheus E. A. Tuerah

Mathematics Department, Universitas Negeri Manado,
Tondano Selatan, Minahasa Regency,
Sulawesi Utara Province,
Indonesia.
E-mail:  nickytumalun@unima.ac.id, pheatuerah@unima.ac.id

Abstract:

In this paper we prove that the gradient of the weak solution of the Dirichlet problem for divergent form elliptic equations, with the known term belongs to the Morrey spaces, is the element of the weak Morrey spaces.


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