Surveys in Mathematics and its Applications

ISSN 1842-6298
 Volume 1 (2006), 111 - 116

EXISTENCE OF POSITIVE SOLUTION TO A QUASILINEAR ELLIPTIC PROBLEM IN RN

Dragoş-Pătru Covei

Abstract. In this paper we prove the existence of positive solution for the following quasilinear problem

where is the p-Laplacian operator.
The proof is based on the results due to Diaz-Saa ([2]).

2000 Mathematics Subject Classification: 35J60.
Keywords: quasilinear elliptic problem, p-Laplacian, positive solution.

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References

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Acknowledgement. This work was supported by the CEEX grant ET65/2005, contract no 2987/11.10.2005, from the Romanian Ministry of Education and Research.

Dragoş-Pătru Covei
University Constantin Brâncuşi of Târgu-Jiu,
Bld. Republicii 1, 210152, Târgu-Jiu,
Romania.
e-mail: dragoscovei@utgjiu.ro
http://www.utgjiu.ro/math/dcovei/

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