This article is cited in 2 papers

Weak condition for a class of $p$-Laplacian Hamiltonian systems

A. B. Benhassine

Department of Mathematics, Higher Institute of Science Computer and Mathematics Monastir, University of Monastir, Monastir, Tunisia

Abstract: We give a general and weak sufficient condition that is very close to a necessary and sufficient condition for the existence of a sequence of solutions converging to zero for the partial differential equations known as the $p$-Laplacian Hamiltonian systems. An application is also given to illustrate our main theoretical result.

Keywords: sublinear $p$-Laplacian Hamiltonian systems, infinitely many solutions, variational methods.

MSC: 49J35, 35Q40, 81V10

Received: 14.07.2020
Revised: 02.12.2020

DOI: 10.4213/tmf9955

 English version: Theoretical and Mathematical Physics, 2021, 208:1, 855–864

Bibliographic databases:

• 
• 
• 
•