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Positive solutions of three-point boundary value problems for the one-dimensional p-laplacian with infinitely many singularities

✍ Scribed by Bing Liu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
289 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

We consider the singular three-point boundary value problems

and has countably many singularities in [0, 1/2). We show that there exist countably many positive solutions by using the fixed-point index theory.

πŸ“œ SIMILAR VOLUMES

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In this paper we study the existence of multiple positive solutions for the equation (g(u )) + e(t)f(u) = 0, where g(v) := |v| p-2 v; p ΒΏ 1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals ΓΏxed point theorem in cones