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

Ravi P. Agarwal; Donal O'Regan; Svatoslav Staněk

doi:10.1007/s10492-008-0031-z

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

Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Review article › peer-review

8 Citations (Scopus)

Abstract

The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem ((u'))' = λf(t, u, u'), u(0) = u(T) = A. Here λ 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
Pages (from-to)	381-399
Number of pages	19
Journal	Applications of Mathematics
Volume	53
Issue number	4
DOIs	https://doi.org/10.1007/s10492-008-0031-z
Publication status	Published - Aug 2008

Keywords

-Laplacian
dead core
dead core solution
existence
positive solution
pseudodead core solution
singular Dirichlet boundary value problem

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10.1007/s10492-008-0031-z

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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 ((u'))' = λf(t, u, u'), u(0) = u(T) = A. Here λ 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.",

keywords = "-Laplacian, dead core, dead core solution, existence, positive solution, pseudodead core solution, singular Dirichlet boundary value problem",

author = "Agarwal, \{Ravi P.\} and Donal O'Regan and Svatoslav Stan{\v e}k",

year = "2008",

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doi = "10.1007/s10492-008-0031-z",

language = "English",

volume = "53",

pages = "381--399",

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T1 - Dead cores of singular Dirichlet boundary value problems with φ-Laplacian

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

AU - Staněk, Svatoslav

PY - 2008/8

Y1 - 2008/8

N2 - The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem ((u'))' = λf(t, u, u'), u(0) = u(T) = A. Here λ 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.

AB - The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem ((u'))' = λf(t, u, u'), u(0) = u(T) = A. Here λ 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.

KW - -Laplacian

KW - dead core

KW - dead core solution

KW - existence

KW - positive solution

KW - pseudodead core solution

KW - singular Dirichlet boundary value problem

UR - https://www.scopus.com/pages/publications/84867937475

U2 - 10.1007/s10492-008-0031-z

DO - 10.1007/s10492-008-0031-z

M3 - Review article

AN - SCOPUS:84867937475

SN - 0862-7940

VL - 53

SP - 381

EP - 399

JO - Applications of Mathematics

JF - Applications of Mathematics

IS - 4

ER -

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

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Keywords

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