Three positive solutions for the one-dimensional p-Laplacian

• Published in: Journal of mathematical analysis and applications Vol. 286; no. 2; pp. 491 - 508
• Main Authors: Guo, Yanping, Ge, Weigao
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 15.10.2003; Elsevier
• Subjects: Exact sciences and technology; Mathematical analysis; Mathematics; Nonlinear boundary value problem; Ordinary differential equations; p-Laplacian operator; Positive solution; Sciences and techniques of general use; The five functionals fixed point theorem; Nonlinear boundary value problem; p-Laplacian operator; The five functionals fixed point theorem; Positive solution; Non linear equation; Fix point; Boundary value problem; Fixed point theorem; Differential equation; Fixed point theory; Banach space; Concave functional; Continuous boundary condition
• ISSN: 0022-247X; 1096-0813
• DOI: 10.1016/S0022-247X(03)00476-1

In this paper, nonlinear two point boundary value problems with p-Laplacian operators subject to Dirichlet boundary condition and nonlinear boundary conditions are studied. We show the existence of three positive solutions by the five functionals fixed point theorem.