A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian
In this paper, we give conditions guaranteeing the existence of at least three solutions for a second-order dynamic Sturm-Liouville boundary value problem involving two parameters. In the proofs of the results, we utilize critical point theory and variational methods. In addition, an example is given in order to illustrate our results.
S. Heidarkhani et al., "A Critical Point Approach for a Second-Order Dynamic Sturm-Liouville Boundary Value Problem with P-Laplacian," Applied Mathematics and Computation, Elsevier, Jan 2020.
The definitive version is available at https://doi.org/10.1016/j.amc.2020.125521
Mathematics and Statistics
Keywords and Phrases
Critical point theory; Sturm-Liouville boundary value problem; Three solutions; Time scales; Variational methods
International Standard Serial Number (ISSN)
Article - Journal
© 2021 Elsevier, All rights reserved.
01 Jan 2020