Abstract
This paper is concerned with the existence and asymptotic behavior of positive solutions of semilinear elliptic problems of second order in ${\bf R}^N $, $N \geqq 2$. Positive solutions in ${\bf R}^N $ that decay uniformly to zero at $\infty $ are obtained under various structure conditions by either a direct variational approach or a new approximation procedure. Sharp decay estimates are proved for two general classes of problems.
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