A Lane-Emden-Fowler type problem with singular nonlinearity

作者:Covei Dragos Patru*
来源:Journal of Mathematics of Kyoto University, 2009, 49(2): 325-338.
DOI:10.1215/kjm/1256219159

摘要

The main purpose of this article is to establish the existence result concerning to the problem -Delta u(x) c(x)u(x) = a(x)f(u(x)), x is an element of R(N), N > 2, u(x) -> 0 as vertical bar x vertical bar -> infinity. Similary problems have been also studied. The proofs of the existence are based on the maximum principle and sub and super solutions method.

  • 出版日期2009