Existence of triple positive solutions to a class of p-Laplacian boundary value problems

• Published in: Journal of mathematical analysis and applications Vol. 328; no. 2; pp. 972 - 983
• Main Authors: Zhao, Dongxia, Wang, Hongzhou, Ge, Weigao
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 15-04-2007; Elsevier
• Subjects: Cone; Exact sciences and technology; Global analysis, analysis on manifolds; Leggett–Williams' fixed-point theorem; Mathematical analysis; Mathematics; p-Laplacian boundary value problem; Partial differential equations; Sciences and techniques of general use; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Triple positive solutions; p-Laplacian boundary value problem; Triple positive solutions; Leggett–Williams' fixed-point theorem; Cone; Existence condition; P laplacian; Sufficient condition; Fix point; Boundary value problem; Mathematical analysis; Positive solution; Leggett-Williams' fixed-point theorem
• ISSN: 0022-247X; 1096-0813
• DOI: 10.1016/j.jmaa.2006.05.073

By using Leggett–Williams' fixed-point theorem, a class of
p-Laplacian boundary value problem is studied. Sufficient conditions for the existence of triple positive solutions are established.