IJPAM: Volume 97, No. 4 (2014)
EXISTENCE AND UNIQUENESS OF WEAK SOLUTION
FOR WEIGHTED LAPLACE DIRICHLET PROBLEM
FOR WEIGHTED LAPLACE DIRICHLET PROBLEM
Tahar Bouali
, Rafik Guefaifia
Department of Mathematics
Tebessa University
Tebessa, 12000, ALGERIA



Tebessa University
Tebessa, 12000, ALGERIA
Abstract. This paper deals with the following equation
in bounded domain
with Dirichlet boundary value condition. The existence and uniqueness results are obtained by Browder Theorem.
Received: June 23, 2014
AMS Subject Classification: 35D05, 35J60, 35J70, 15A18
Key Words and Phrases: weak solution, nonlinear elliptic equation, Laplace operator, Browder theorem
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DOI: 10.12732/ijpam.v97i4.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 97
Issue: 4
Pages: 481 - 489
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This work is licensed under the Creative Commons Attribution International License (CC BY).