Upper and lower solutions for singular problems with nonlinear boundary data

Ravi P. Agarwal; Donal O'Regan

doi:10.1007/pl00012607

Upper and lower solutions for singular problems with nonlinear boundary data

Ravi P. Agarwal
, Donal O'Regan

Mathematics

National University of Singapore

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

8 Citations (Scopus)

Abstract

We obtain via Schauder's fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y′(1)+ky(1) = 0, and the Stefan condition y(0) = y′(1)+ay⁴(1) = 0, a > 0.

Original language	English
Pages (from-to)	419-440
Number of pages	22
Journal	Nonlinear Differential Equations and Applications NoDEA
Volume	9
Issue number	4
DOIs	https://doi.org/10.1007/pl00012607
Publication status	Published - 2002

Keywords

Membrane response of a spherical cap
Singular problems
Stefan conditions
Sturm liouville conditions
Upper and lower solutions

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10.1007/pl00012607

Cite this

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title = "Upper and lower solutions for singular problems with nonlinear boundary data",

abstract = "We obtain via Schauder's fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y′(1)+ky(1) = 0, and the Stefan condition y(0) = y′(1)+ay4(1) = 0, a > 0.",

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AU - Agarwal, Ravi P.

AU - O'Regan, Donal

PY - 2002

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N2 - We obtain via Schauder's fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y′(1)+ky(1) = 0, and the Stefan condition y(0) = y′(1)+ay4(1) = 0, a > 0.

AB - We obtain via Schauder's fixed point theorem new results for singular boundary value problems when our nonlinear term f is allowed to change sign. Our boundary data include the Sturm Liouville condition y(0) = y′(1)+ky(1) = 0, and the Stefan condition y(0) = y′(1)+ay4(1) = 0, a > 0.

KW - Membrane response of a spherical cap

KW - Singular problems

KW - Stefan conditions

KW - Sturm liouville conditions

KW - Upper and lower solutions

UR - https://www.scopus.com/pages/publications/0346385922

U2 - 10.1007/pl00012607

DO - 10.1007/pl00012607

M3 - Article

SN - 1021-9722

VL - 9

SP - 419

EP - 440

JO - Nonlinear Differential Equations and Applications NoDEA

JF - Nonlinear Differential Equations and Applications NoDEA

IS - 4

ER -

Upper and lower solutions for singular problems with nonlinear boundary data

Abstract

Keywords

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