Taiwanese Journal of Mathematics

Eigenvalue Problem for a System of Singular ODEs with a Perturbed $q$-Laplace operator

Donal O'Regan and Aleksandra Orpel

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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.

Article information

Taiwanese J. Math., Volume 23, Number 3 (2019), 691-701.

Received: 22 March 2018
Revised: 25 May 2018
Accepted: 1 October 2018
First available in Project Euclid: 11 October 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34B15: Nonlinear boundary value problems 34B16: Singular nonlinear boundary value problems
Secondary: 49J45: Methods involving semicontinuity and convergence; relaxation

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


O'Regan, Donal; Orpel, Aleksandra. Eigenvalue Problem for a System of Singular ODEs with a Perturbed $q$-Laplace operator. Taiwanese J. Math. 23 (2019), no. 3, 691--701. doi:10.11650/tjm/181003. https://projecteuclid.org/euclid.twjm/1539223220

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