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Teoreticheskaya i Matematicheskaya Fizika, 2021, Volume 208, Number 1, Pages 3–14
DOI: https://doi.org/10.4213/tmf9955 (Mi tmf9955) 		 
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
Full-text PDF (422 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf9955
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
English version:
Theoretical and Mathematical Physics, 2021, Volume 208, Issue 1, Pages 855–864
DOI: https://doi.org/10.1134/S0040577921070011
Bibliographic databases:
Document Type: Article
MSC: 49J35, 35Q40, 81V10
Language: Russian
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
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9955
  • https://www.mathnet.ru/eng/tmf/v208/i1/p3
    • This publication is cited in the following 1 articles:
    1. A. Benhassine, S. Farhani, T. Talbi, “Sufficient close-to-necessary condition for the existence of homoclinic orbits, and applications”, São Paulo J. Math. Sci., 2024  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:63
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