A semilinear singular Sturm-Liouville equation involving measure data

被引：1
|
作者：
Wang, Hui [1 ]
机构：
[1] Rutgers State Univ, Dept Math, 110 Frelinghuysen Rd, Piscataway, NJ 08854 USA
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2016年 / 33卷 / 04期
关键词：
Singular Sturm-Liouville equation; Semilinear equation; Radon measure; Elliptic regularization; Classification of singularity; NONLINEAR ELLIPTIC-EQUATIONS; BOUNDARY-CONDITIONS; L1;
D O I：
10.1016/j.anihpc.2015.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given alpha > 0 and p > 1, let mu be a bounded Radon measure on the interval (-1, 1). We are interested in the equation -(vertical bar x vertical bar(2 alpha)u')' + vertical bar u vertical bar(p-1)u = mu, on (-1, 1) with boundary condition u(-1) = u(1) = 0. We establish some existence and uniqueness results. We examine the limiting behavior of three approximation schemes. The isolated singularity at 0 is also investigated. (C) 2015 Elsevier Masson SAS. All rights reserved.
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页码：965 / 1007
页数：43
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