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Positive solutions of singular dirichlet boundary value problems with sign-changing nonlinearities

✍ Scribed by G.C. Yang

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
323 KB
Volume
51
Category
Article
ISSN
0898-1221

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✦ Synopsis

By a new approach, we present a new existence result of positive solutions to the following Dirichlet boundary value problem,

It is remarkable that the result of this paper is not obtained by employing the fixed-point theorems in cone and the method of the lower and upper functions. Our nonlinearity may change sign and be singular at t --0, 1, ac = 0. @

πŸ“œ SIMILAR VOLUMES

Positive and dead core solutions of sing
Positive and dead core solutions of singular Dirichlet boundary value problems with -Laplacian
✍ Ravi P. Agarwal; Donal O’Regan; Svatoslav StanΔ›k πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 318 KB

The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet boundary value problem Here Ξ» is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and h may be singular at the value 0 of its s