1Department of Mathematics, Temple University Philadelphia, PA 19122, USA.E-mail: ahmed@euclid.math.temple.edu
2Department of Mathematics and Computer Science, Faculty of Science, Kuwait University. P.O .Box 5969, Safat 13060, KUWAIT.E-mail: belgacem@mcs.sci.kuniv.edu.kw
ABSTRACT
We prove the nonexistence of entire solutions to elliptic equations of the form div( ) + â(x)f(u} = g(x), p> 1 under some conditions on â,g, and the nonlinearity f. Typical models for f include the exponential and power functions. All Theorems proved herein generalize some previously known results, when p =2.
Key words: Entire Solutions; Nonlinear Elliptic Equations.