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June, 2019 Eigenvalue Problem for a System of Singular ODEs with a Perturbed $q$-Laplace operator
Donal O'Regan, Aleksandra Orpel
Taiwanese J. Math. 23(3): 691-701 (June, 2019). DOI: 10.11650/tjm/181003


Our purpose is to characterize the eigenvalue interval for a system of boundary value problems with a one-dimensional perturbed $q$-Laplace operator. We consider both sublinear and superlinear nonlinearities with a possible singularity at zero. The tools applied here are based on variational methods and properties of the Fenchel transform.


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Donal O'Regan. Aleksandra Orpel. "Eigenvalue Problem for a System of Singular ODEs with a Perturbed $q$-Laplace operator." Taiwanese J. Math. 23 (3) 691 - 701, June, 2019.


Received: 22 March 2018; Revised: 25 May 2018; Accepted: 1 October 2018; Published: June, 2019
First available in Project Euclid: 11 October 2018

zbMATH: 07068570
MathSciNet: MR3952247
Digital Object Identifier: 10.11650/tjm/181003

Primary: 34B15 , 34B16
Secondary: 49J45

Keywords: Fenchel conjugate , perturbed $q$-Laplace operator , ‎positive‎ ‎solutions , system of singular boundary value problems , variational methods

Rights: Copyright © 2019 The Mathematical Society of the Republic of China


Vol.23 • No. 3 • June, 2019
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