Sofiane El-Hadi Miri
Abstract:
In this article we study the quasilinear elliptic problem
where
is a bounded regular domain, p>1 and
.
Moreover, f is a nonnegative function verifying suitable
hypotheses. The main goal of this work is to analyze the interaction between
the gradient term and the function f to obtain existence results.
Submitted January 14, 2013. Published January 27, 2014.
Math Subject Classifications: 35D05, 35D10, 35J25, 35J70, 46E30, 46E35.
Key Words: Quasi-linear elliptic problems; entropy solution; general growth
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Sofiane El-Hadi Miri Université de Tlemcen, Faculté de Technologie BP 230, Tlemcen 13000, Algérie. Laboratoire d'Analyse Non-Linéaire et Mathématiques Appliquées, Université de Tlemcen, BP 119. Tlemcen, Algérie email: mirisofiane@yahoo.fr |
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