Dead cores of singular Dirichlet boundary value problems with phi-Laplacian

Donal O'Regan

Dead cores of singular Dirichlet boundary value problems with phi-Laplacian

Mathematics

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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.

Original language	English (Ireland)
Number of pages	19
Journal	Applications Of Mathematics
Volume	53
Publication status	Published - 1 Aug 2008

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP,O'Regan, D,Stanek, S

Cite this

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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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AB - 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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JO - Applications Of Mathematics

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Dead cores of singular Dirichlet boundary value problems with phi-Laplacian

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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