The Australian Journal of Mathematical Analysis and Applications


Home News Editors Volumes RGMIA Subscriptions Authors Contact

ISSN 1449-5910  

 

You searched for tumalun
Total of 6 results found in site

3: Paper Source PDF document

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.



3: Paper Source PDF document

Paper's Title:

Some Notes on the Semi-open Subspaces of Topological Spaces

Author(s):

Nicky. K. Tumalun, Philotheus E. A. Tuerah, and Rolles N. S. Palilingan

Department of Mathematics
Universitas Negeri Manado
Tondano 95618
Indonesia.
E-mail: nickytumalun@unima.ac.id
URL: https://fmipa.unima.ac.id/

Department of Mathematics
Universitas Negeri Manado
Tondano 95618
Indonesia.
E-mail: pheatuerah@unima.ac.id
URL: https://fmipa.unima.ac.id/

Department of Physics
Universitas Negeri Manado
Tondano 95618
Indonesia.
E-mail: rollespalilingan@unima.ac.id
URL: https://fmipa.unima.ac.id/

Abstract:

In this paper, we obtain some new results regarding to the nowhere dense and first category set in the semi-open subspace of a topological space. More precisely, we prove that a nowhere dense set in the semi-open subspace of a topological space is equivalent as a nowhere dense set in that topological space. This implies that a first category set in the semi-open subspace of a topological space is equivalent as a first category set in that topological space. We also give some applications of these results to give some new proofs relating to the properties of semi-open set and Baire space.


Search and serve lasted 1 second(s).


2004-2023 Austral Internet Publishing