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ASYMPTOTIC BEHAVIOR OF POSITIVE SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS IN R^n

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초록

We investigate the asymptotic behavior of positive solutions to the elliptic equation (0.1) <수식>We obtain a conclusion that, for n ≥ 3, -2 < l2 < l1 ≤ 0 and q >p > 1, any positive radial solution to (0.1) has the following properties:<수식> always exist if <수식>. In addition, we prove that the singular positive solution of (0.1) is unique under some conditions.

Abstract

We investigate the asymptotic behavior of positive solutions to the elliptic equation (0.1) <수식>We obtain a conclusion that, for n ≥ 3, -2 < l2 < l1 ≤ 0 and q >p > 1, any positive radial solution to (0.1) has the following properties:<수식> always exist if <수식>. In addition, we prove that the singular positive solution of (0.1) is unique under some conditions.

참고문헌 (25)

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