A multiplicity result for a boundary value problem with infinitely many singularities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:269

Article

Kaufmann, ER ; Kosmatov, N

关键词: boundary value problem;    Green's function;    Holder's inequality;    multiple solutions;   

DOI  :  10.1016/S0022-247X(02)00025-2

来源: Elsevier

【 摘 要 】

We consider the second order boundary value problem -u (t) = a(t)f (u(t)), 0 < t < 1, u(0) = u(1) = 0, where a(t) is an element of L-P[0, 1] for some p greater than or equal to 1 and has countably many singularities in [0, 1/2]. We show that there exist countably many positive solutions using Holder's inequality and Krasnosel'skii's fixed point theorem for operators on a cone. (C) 2002 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free