We use the fixed-point index theory to establish the existence of at least one or two positive solutions for the singular three-point boundary value problems and a(t) is allowed to have a singularity at the endpoints of (0, 1). Applications of our results are provided to yield positive radial solut
Three positive solutions for the one-dimensional p-Laplacian
โ Scribed by Yanping Guo; Weigao Ge
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 223 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper, nonlinear two point boundary value problems with p-Laplacian operators subject to Dirichlet boundary condition and nonlinear boundary conditions are studied. We show the existence of three positive solutions by the five functionals fixed point theorem.
๐ SIMILAR VOLUMES
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.
In this paper, the criterion for the existence of at least one positive solution of the one-dimensional p-Laplacian (b(t)Q(u'))' + c(t)!(u) = 0, are obtained, where a(u) = IuIP-~u, p > 0