Multiple Solutions For A Class Of Semilinear Elliptic Equations,

This paper contains two parts. The first part deals with the multisolvability of a semilinear elliptic equation-Emden-Fowler equation with exponential nonlinearity on the n-dimentional unit ball via the phase plain. In the second part, the uniqueness of nonminimal solution about the same equation is proved with the domains closed to the disk under some conditions of the boundary and the parameter.