Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 6 (2011), 127 -- 136

EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTION TO A SINGULAR ELLIPTIC PROBLEM

Dragoş-Pătru Covei

Abstract. In this paper we obtain existence results for the positive solution of a singular elliptic boundary value problem. To prove the main results we use comparison arguments and the method of sub-super solutions combined with a procedure which truncates the singularity.

2010 Mathematics Subject Classification: 35J60; 35J15; 35J05.
Keywords: Nonlinear elliptic equation; Singularity; Existence; Regularity.

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Dragoş-Pătru Covei
Constantin Brâncuşi University of Târgu-Jiu
Str. Grivitei, No. 3, Târgu-Jiu, Gorj, Romania.
e-mail: covdra@yahoo.com
http://www.utgjiu.ro/math/dcovei/

http://www.utgjiu.ro/math/sma