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On the Existence of Positive Solutions of a Singular Nonlinear Eigenvalue Problem

✍ Scribed by Lamia Maatoug


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
110 KB
Volume
261
Category
Article
ISSN
0022-247X

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We consider the nonlinear singular differential equation where Β΅ and Οƒ are two positive Radon measures on 0 Ο‰ 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

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## Abstract We consider the non‐local singular boundary value problem where __q__ ∈ __C__^0^([0,1]) and __f__, __h__ ∈ __C__^0^((0,∞)), lim__f__(__x__)=βˆ’βˆž, lim__h__(__x__)=∞. We present conditions guaranteeing the existence of a solution __x__ ∈ __C__^1^([0,1]) ∩ __C__^2^((0,1]) which is positive