关键词: 双重调和方程,奇系数,临界维数,消失

Abstract:

In this paper, the authors mainly study two semilinear biharmonic problems: singularsubcritical and critical with lower singularity. The existence of “at least” a positive solution is obtained whether the dimensions are critical or not. In the meanwhile, the au thors study the problem of the critical
dimensions′disappearing and compare the change of them between higher singular ity and lower singularity, and so the authors get the result, the higher the singularity, the less the crit ical dimensions.

Key words: Biharmonic equation, Singularity, Critical dimensions, Disappear