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摘要
In this article we study the asymptotic behavior of positive singular solutions to the equation (-Delta)(alpha)u + P-u = 0 in Omega\{0}, subject to the conditions u = 0 in Omega(c) and lim(x) (>) (0) u(x) = infinity, where p >= 1, Omega is an open bounded regular domain in R-N (N >= 2) containing the origin, and (-Delta)(alpha) with alpha is an element of (0, 1) denotes the fractional Laplacian. We show that the asymptotic behavior of positive singular solutions is controlled by a radially symmetric solution with Omega being a ball.
- 出版日期2014-2-10
- 单位江西师范大学
