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Research Article | Open Access

Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems

Xiaofei Zhang1, Fanjing Wang2( )
School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, China
School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China
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Abstract

Under a generalized subquadratic growth condition, brake orbits are guaranteed via the homological link theorem. Moreover, the minimal period estimate is given by Morse index estimate and L 0 -index estimate.

Keywords

Hamiltonian systemSobolev spacesweakly continuous functionalsL0-indexbrake orbitanisotropic growth

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Electronic Research Archive
Volume 30 Issue 11,
November 2022
Pages 4220-4231
DOI: 10.3934/era.2022214

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Cite this article:
Zhang X, Wang F. Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems. Electronic Research Archive, 2022, 30(11): 4220-4231. https://doi.org/10.3934/era.2022214

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Received: 03 August 2022
Revised: 15 September 2022
Accepted: 15 September 2022
Published: 15 November 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)