Positive and dead core solutions of singular Dirichlet boundary value problems with φ{symbol}-Laplacian

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

doi:10.1016/j.camwa.2006.12.026

Positive and dead core solutions of singular Dirichlet boundary value problems with φ{symbol}-Laplacian

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

Mathematics

Department of Mathematical Sciences
Palacký University

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

9 Citations (Scopus)

Abstract

The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet boundary value problem (φ{symbol} (u^′))^′ = λ [f (t, u, u^′) + h (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 h may be singular at the value 0 of its second phase variable.

Original language	English
Pages (from-to)	255-266
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	54
Issue number	2
DOIs	https://doi.org/10.1016/j.camwa.2006.12.026
Publication status	Published - 1 Jul 2007

Keywords

Dead core solution
Existence
Positive solution
Pseudodead core solution
Singular Dirichlet boundary value problem

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

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

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10.1016/j.camwa.2006.12.026

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 boundary value problem (φ\{symbol\} (u′))′ = λ [f (t, u, u′) + h (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 h may be singular at the value 0 of its second phase variable.",

keywords = "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",

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T1 - Positive and dead core solutions of singular Dirichlet boundary value problems with φ{symbol}-Laplacian

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

AU - Staněk, Svatoslav

PY - 2007/7/1

Y1 - 2007/7/1

N2 - The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet boundary value problem (φ{symbol} (u′))′ = λ [f (t, u, u′) + h (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 h may be singular 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 boundary value problem (φ{symbol} (u′))′ = λ [f (t, u, u′) + h (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 h may be singular at the value 0 of its second phase variable.

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/34249891897

U2 - 10.1016/j.camwa.2006.12.026

DO - 10.1016/j.camwa.2006.12.026

M3 - Article

SN - 0898-1221

VL - 54

SP - 255

EP - 266

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 2

ER -

Positive and dead core solutions of singular Dirichlet boundary value problems with φ{symbol}-Laplacian

Abstract

Keywords

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

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