Abstract
D, = LT/d?r,, D,] = d’liix, ax,, 1 6 i, j< N, and i. is a real constant. By an entire solution of (1.1) we mean a function II of class C’(RN) which satisfies (1.1) in RN. In recent years, the existence of positive entire solutions of ( 1.1) has been studied under various structure hypotheses for L and f by many authors (see, e.g., [ 1-8, l&15, 17-22, 241). However, as far as we are aware, little is known about the existence of nonconstant entire solutions of Eq. ( 1.1) subject to the condition
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