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)
- Institution
- The University of North Carolina at Greensboro (UNCG )
- Web Site: http://library.uncg.edu/
- Advisor
- 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.
Positive solutions for a class of one dimensional p-Laplacian problems
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Created on 8/1/2014
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Additional Information
- Publication
- Thesis
- Language: English
- Date: 2014
- Keywords
- Boundary Value Problem, p-Laplacian, Quadrature Method, Semipositone, Sublinear, Superlinear