Existence of solutions for superquadratic or asymptotically quadratic fractional Hamiltonian systems

Mohsen Timoumi ()
Additional contact information
Mohsen Timoumi: Department of Mathematics, Faculty of Sciences

Partial Differential Equations and Applications, 2024, vol. 5, issue 2, 1-19

Abstract: Abstract In this paper, we are concerned with a class of periodic fractional Hamiltonian systems when the Hamiltonian is superquadratic not satisfying the well-known Ambrosetti-Rabinowitz condition or with asymptotically quadratic growth. Using the monotonicity trick of Jeanjean and the concentration compactness principle, we prove the existence of nontrivial solution. Some recent results in the literature are generalized and significantly improved.

Keywords: Fractional Hamiltonian systems; Nontrivial solutions; Variational methods; Concentration compactness principle; Monotonicity trick; 34C37; 35A15; 35B38 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s42985-024-00278-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:pardea:v:5:y:2024:i:2:d:10.1007_s42985-024-00278-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/42985/

DOI: 10.1007/s42985-024-00278-y

Access Statistics for this article

Partial Differential Equations and Applications is currently edited by Zhitao Zhang

More articles in Partial Differential Equations and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().