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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 14.07.2020 Revised: 02.12.2020
Citation:
A. B. Benhassine, “Weak condition for a class of $p$-Laplacian Hamiltonian systems”, TMF, 208:1 (2021), 3–14; Theoret. and Math. Phys., 208:1 (2021), 855–864
Linking options:
https://www.mathnet.ru/eng/tmf9955https://doi.org/10.4213/tmf9955 https://www.mathnet.ru/eng/tmf/v208/i1/p3
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Abstract page: | 179 | Full-text PDF : | 29 | References: | 47 | First page: | 8 |
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