International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 34538, 19 pages
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, Nanjing, China
Received 21 June 2005; Revised 22 November 2005; Accepted 22 January 2006
Copyright © 2006 Yang Zuodong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Our goal is to establish the theorems of existence
and multiple of positive entire solutions for a class quasilinear
elliptic equations in with the
Schauder-Tychonoff fixed point theorem as the principal tool. In
many articles, the theorems of existence and multiple of
positive entire solutions for a class semilinear elliptic
equations are established. The results of the semilinear
equations are extended to the quasilinear ones and the results of
semilinear equations are developed.