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Existence and multiplicity of positive solutions for singular semipositone $p$-laplacian equations

Agarwal, Ravi P.
; 
Cao, Daomin
; 
Lü, Haishen
; 
O'Regan, Donal
Repository DOI
Publication Date
2006-06-01
Keywords
one dimensional p-laplacian, positive solution, degree theory, upper and lower solution, boundary-value-problems
Type
Article
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Citation
Agarwal, Ravi P. Cao, Daomin; Lü, Haishen; O'Regan, Donal (2006). Existence and multiplicity of positive solutions for singular semipositone $p$-laplacian equations . Canadian Journal of Mathematics 58 (3), 449-475
Abstract
Positive solutions are obtained for the boundary value problem [GRAPHICS] Here f(t, u) >= -M, (M is a positive constant) for (t, u) is an element of [0, 1] X (0, infinity). We will show the existence of two positive solutions by using degree theory together with the upper-lower solution method.
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Publisher
Canadian Mathematical Society
Publisher DOI
10.4153/cjm-2006-019-2
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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)