EXISTENCE AND NONEXISTENCE OF ENTIRE LARGE SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC EQUATIONS

摘要

In this note, we consider positive entire large solutions for semilinearelliptic equations △u = p(x)f(u) in RN with N ≥ 3. More precisely, we are interestedin the link between the existence of entire large solution with the behavior of solution for --△u = p(x) in RN. Especially for the radial case, we try to give a survey of all possible situations under Keller-Osserman type conditions.