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	Second order expansion for the solution to a singular Dirichlet problem
	Mi, Ling ; Liu, Bin
	2015
关键词	Semi linear elliptic equations Singular Dirichlet problem Second order expansion Sub-supersolution method Karamata regular variation theory BOUNDARY-VALUE PROBLEM SEMILINEAR ELLIPTIC PROBLEM EMDEN-FOWLER EQUATION ASYMPTOTIC-BEHAVIOR UNIQUE SOLUTION GRADIENT TERM EXISTENCE
英文摘要	In this paper, we analyze the second order expansion for the unique solution near the boundary to the singular Dirichlet problem -Delta u = b(x)g(u), u > 0, x is an element of Omega, u/(partial derivative pi) = 0, where Omega is a bounded domain with smooth boundary in R-N, g is an element of E C-1((0, infinity), (0, infinity)), g is decreasing on (0, infinity) with lim g(s) = infinity and g is normalized regularly varying at zero with index -gamma (gamma > 1), b is an element of C-loc(alpha)(Omega)(S -> 0+) (0 < alpha < 1), is positive in Omega, may be vanishing or singular on the boundary and belongs to the Kato class K(Omega). Our analysis is based on the sub-supersolution method and Karamata regular variation theory. (C) 2015 Elsevier Inc. All rights reserved.; NSF of China [11301250]; NSF of Shandong Province [ZR2013AQ004]; Applied Mathematics Enhancement Program (AMEP) of Linyi University [2013001]; SCI(E); EI; ARTICLE; mi-ling@163.com; 401-412; 270
语种	英语
出处	EI ; SCI
出版者	APPLIED MATHEMATICS AND COMPUTATION
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/424544]
专题	数学科学学院
推荐引用方式 GB/T 7714	Mi, Ling,Liu, Bin. Second order expansion for the solution to a singular Dirichlet problem. 2015-01-01.

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