Existence and nonexistence of entire positive solutions for
-Laplacian elliptic system with a gradient term
1 School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, P.R. China
2 Department of Mathematics, Changwon National University, Changwon, 641-773, Republic of Korea
Boundary Value Problems 2013, 2013:18 doi:10.1186/1687-2770-2013-18Published: 5 March 2013
This work is concerned with the entire positive solutions for a -Laplacian elliptic system of equations with a gradient term. We find the sufficient condition for nonexistence of entire large positive solutions and existence of infinitely many entire solutions, which are large or bounded.