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On the Existence of Positive Solutions of a Singular Nonlinear Differential Equation

✍ Scribed by S. Masmoudi; N. Yazidi

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 112 KB
Volume: 268
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7790

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the nonlinear singular differential equation

where µ and σ are two positive Radon measures on 0 ω not charging points. For a regular function f and under some hypotheses on A, we prove the existence of an infinite number of nonnegative solutions. Our approach is based on the use of the Green's function of the homogeneous equation and Schauder's fixed-point theorem.  2002 Elsevier Science (USA)

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