Electron. J. Diff. Equ., Vol. 2013 (2013), No. 204, pp. 1-9.

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

Yong Zhang, Qiang Xu, Peihao Zhao

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

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Yong Zhang
Department of Mathematics, Lanzhou University
Lanzhou, Gansu, 730000, China
Department of Mathematics, Chizhou College
Chizhou, Anhui, 247000, China
email: zhangy12@lzu.edu.cn
  Qiang Xu
Department of Mathematics, Lanzhou University
Lanzhou, Gansu, 730000, China
email: xuqiang09@lzu.edu.cn
Peihao Zhao
Department of Mathematics, Lanzhou University
Lanzhou, Gansu, 730000, China
email: zhaoph@lzu.edu.cn

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