Existence and multiplicity of positive solutions for singular semipositone $p$-laplacian equations
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2006-06-01Author
Agarwal, Ravi P.
Cao, Daomin
Lü, Haishen
O'Regan, Donal
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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
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Abstract
Positive solutions are obtained for the boundary value problem
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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.