%0 Journal Article
%T Entire solutions of semilinear elliptic equations
%A Alexander Gladkov
%A Nickolai Slepchenkov
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We consider existence of entire solutions of a semilinear elliptic equation $Delta u= k(x) f(u)$ for $x in mathbb{R}^n$, $nge3$. Conditions of the existence of entire solutions have been obtained by different authors. We prove a certain optimality of these results and new sufficient conditions for the nonexistence of entire solutions.
%K Semilinear elliptic equation
%K entire solutions
%K nonexistence.
%U http://ejde.math.txstate.edu/Volumes/2004/86/abstr.html