Upper and lower solutions for the singular p-Laplacian with sign changing nonlinearities and nonlinear boundary data

Authors:
Haishen Lü;Donal O'Regan;Ravi P. Agarwal
Affiliations:
Department of Applied Mathematics, Hohai University, Nanjing 210098, China;Department of Mathematics, National University of Ireland, Galway, Ireland;Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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Existence theorems for the one-dimensional singulari p-Laplacian equation with sign changing nonlinearities

Applied Mathematics and Computation

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Abstract

This paper presents existence results for singular p-Laplacian equations with nonlinear boundary data. Our nonlinearity f(t, u) in the differential equation is allowed to change sign and the singularity may occur at u = 0, t = 0 and t = 1.