IJPAM: Volume 94, No. 4 (2014)

EXISTENCE OF WEAK SOLUTION FOR
NONLINEAR ELLIPTIC SYSTEMS

Tahar Bouali$^1$, Rafik Guefaifia$^2$
$^{1,2}$Department of Mathematics
Tebessa University
Tebessa, 12000, ALGERIA


Abstract. This paper is concerned with some nonlinear elliptic systems,Under suitable conditions on the nonlinearities $f$ and $g$, we obtain weak solution in sobolev space $H=H_{0}^{1}\left( \Omega \right) \times H_{0}^{1}\left( \Omega \right) $ by applying the Banach fixed point theorem.

Received: February 9, 2014

AMS Subject Classification: 35D05, 35J60, 35J70, 15A18

Key Words and Phrases: weak solution, nonlinear elliptic systems, Laplace operator, Riesz theorem, Banach fixed point theorem

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DOI: 10.12732/ijpam.v94i4.5 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: 94
Issue: 4
Pages: 501 - 513

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).