Discussion of Solution of Sublinear Elliptic Equations with Gradient Term
Chun Yang · 2011
The existence of large solutions and entire bounded solutions for a class of sublinear elliptic equations with gradient term is discussed in this paper.By using the method of super-subsolutions and maximum principle,the authors obtain the necessary and sufficient conditions for the existence of entire large solutions of the equation and the sufficient conditions for the existence of entire bounded solutions of the equation in Rn respectively.Finally,the nonexistence of large solutions of the equation in a bounded domain Ω with smooth boundary in Rn is proved.