The existence of positive solutions for the one-dimensional $p$-Laplacian
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- by Junyu Wang PDF
- Proc. Amer. Math. Soc. 125 (1997), 2275-2283 Request permission
Abstract:
In this paper we study the existence of positive solutions of the equation $(g(u’))’+a(t)f(u)=0$, where $g(v)=|v|^{p-2}v$, $p>1$, subject to nonlinear boundary conditions. We show the existence of at least one positive solution by a simple application of a Fixed Point Theorem in cones and the Arzela-Ascoli Theorem.References
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Additional Information
- Junyu Wang
- Affiliation: Department of Mathematics, Jilin University, Changchun 130023, People’s Republic of China
- Received by editor(s): December 6, 1995
- Additional Notes: The author was supported by NNSF of China
- Communicated by: Hal L. Smith
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2275-2283
- MSC (1991): Primary 34B15
- DOI: https://doi.org/10.1090/S0002-9939-97-04148-8
- MathSciNet review: 1423340