Multiple positive solutions to a fourth-order boundary-value problem
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Texas State University. Department of Mathematics
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Abstract
We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnosel’ski˘ı’s compression-expansion theorem, and unilateral Harnack type inequalities
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Cabada, A.; Precup, R.; Saavedra, L.; Tersian, Stepan A. Multiple positive solutions to a fourth-order boundary-value problem. Electronic Journal of Differential Equations, Vol. 2016 (2016), No. 254, pp. 1–18. ISSN: 1072-6691. URL: http://ejde.math.txstate.edu or http://ejde.math.unt.edu
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https://ejde.math.txstate.edu/Volumes/2016/254/cabada.pdfSponsors
The first and third authors were partially supported by
Ministerio de Ciencia y Tecnolog´ıa, Spain, and FEDER, Project MTM2013-43014-
P.
The second author was supported by a grant of the Romanian National Authority
for Scientific Research, CNCS – UEFISCDI, project number PN-II-ID-PCE-2011-
3-0094.
The third author is supported by a FPU scholarship, Ministerio de Educaci´on,
Cultura y Deporte, Spain.
The fourth author is thankful to the Department of Mathematical Analysis,
University of Santiago de Compostela, Spain, where a part of the paper was prepared,
during his visit. He is partially supported by the Fund “Science research”
at University of Ruse, under Project 16-FNSE-03
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© The Author(s) 2016. This work is licensed under a Creative Commons Attribution 4.0 International License. This is an open access journal which means that all content is freely available without charge to the users or their institutions. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author