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Dead cores of singular dirichlet boundary value problems with ϕ-laplacian

Agarwal, Ravi P.
; 
O’Regan, Donal
; 
Staněk, Svatoslav
Identifiers
http://hdl.handle.net/10379/10154
https://doi.org/10.13025/26717
Repository DOI
10.1007/s10492-008-0031-z
Publication Date
2008-07-30
Keywords
singular dirichlet boundary value problem, dead core, positive solution, dead core solution, pseudodead core solution, existence, phi-laplacian
Type
Article
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Citation
Agarwal, Ravi P. O’Regan, Donal; Staněk, Svatoslav (2008). Dead cores of singular dirichlet boundary value problems with ϕ-laplacian. Applications of Mathematics 53 (4), 381-399
Abstract
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (phi(u'))' = lambda f(t, u, u'), u(0) = u(T) = A. Here lambda is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.
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Publisher
Institute of Mathematics, Czech Academy of Sciences
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)