Positive solutions for a class of one dimensional p-Laplacian problems

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Adam L. Eury (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/
Maya Chhetri

Abstract: We will investigate the number of positive solutions for nonlinear boundary value problems (BVPs) with respect to a positive parameter. The nonlinearities we consider are smooth nondecreasing functions that are eventually positive. By utilizing the so-called quadrature method, we discuss existence, nonexistence, uniqueness, and multiplicity of positive solutions depending on the behavior of the nonlinearity near the origin, its concave or convex property, and asymptotic behavior at infinity.

Additional Information

Language: English
Date: 2014
Boundary Value Problem, p-Laplacian, Quadrature Method, Semipositone, Sublinear, Superlinear

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