Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 204, pp. 1-9.

Title: The (n-1)-radial symmetric positive classical solution
       for elliptic equations with gradient

Authors: Yong Zhang  (Lanzhou Univ., Gansu, China)
         Qiang Xu    (Lanzhou Univ., Gansu, China)
         Peihao Zhao (Lanzhou Univ., Gansu, China)

Abstract:
 In this article, we study the existence of the $(n-1)$-radial
 symmetric positive classical solution for elliptic equations with
 gradient. By some special techniques in two variables, we show
 a priori estimates, and then show the existence of a solution using
 a fixed point theorem.


Submitted June 14, 2013. Published September 16, 2013.
Math Subject Classifications: 35J60, 35B09.
Key Words: Elliptic equations; symmetric;  positive solution; 
           a priori estimates; fixed point theorem.