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Positive and dead core solutions of singular Dirichlet boundary value problems with -Laplacian

✍ Scribed by Ravi P. Agarwal; Donal O’Regan; Svatoslav Staněk

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
318 KB
Volume
54
Category
Article
ISSN
0898-1221

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✦ Synopsis

The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet boundary value problem

Here λ 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 second phase variable.

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## Abstract The paper presents existence results for positive solutions of the differential equations __x__ ″ + __μh__ (__x__) = 0 and __x__ ″ + __μf__ (__t, x__) = 0 satisfying the Dirichlet boundary conditions. Here __μ__ is a positive parameter and __h__ and __f__ are singular functions of non‐p