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2017 Infinitely many positive solutions of fractional boundary value problems
Bin Ge, Vicențiu D. Rădulescu, Ji-Chun Zhang
Topol. Methods Nonlinear Anal. 49(2): 647-664 (2017). DOI: 10.12775/TMNA.2017.001

Abstract

We are concerned with the qualitative analysis of solutions of a class of fractional boundary value problems with Dirichlet boundary conditions. By combining a direct variational approach with the theory of the fractional derivative spaces, we establish the existence of infinitely many distinct positive solutions whose $E^\alpha$-norms and $L^\infty$-norms tend to zero (to infinity, respectively) whenever the nonlinearity oscillates at zero (at infinity, respectively).

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Bin Ge. Vicențiu D. Rădulescu. Ji-Chun Zhang. "Infinitely many positive solutions of fractional boundary value problems." Topol. Methods Nonlinear Anal. 49 (2) 647 - 664, 2017. https://doi.org/10.12775/TMNA.2017.001

Information

Published: 2017
First available in Project Euclid: 10 March 2017

zbMATH: 1375.35181
MathSciNet: MR3670480
Digital Object Identifier: 10.12775/TMNA.2017.001

Rights: Copyright © 2017 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.49 • No. 2 • 2017
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