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Upper and lower solutions for the singular p -laplacian with sign changing nonlinearities via inequality theory

LÜ, HAISHEN
; 
O'REGAN, DONAL
; 
AGARWAL, RAVI P.
Identifiers
http://hdl.handle.net/10379/9455
 https://doi.org/10.13025/24624
Publication Date
2005-11-29
Keywords
equation
Type
Article
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Citation
LÜ, HAISHEN; O'REGAN, DONAL; AGARWAL, RAVI P. (2005). Upper and lower solutions for the singular p -laplacian with sign changing nonlinearities via inequality theory. Glasgow Mathematical Journal 47 , 439-460
Abstract
In this paper, general existence theorems are presented for the singular equation {-(phi(p)(u'))' = f(t, u, u'), 0 < t < 1 u(0) = u(1) = 0. Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0, t = 0 and t = 1.
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Publisher
Cambridge University Press (CUP)
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)