Periodic solutions of differential systems with curvature-like principal part and unbounded nonlinearity

Marco Degiovanni; VALENTINA FOLLONI

doi:10.3934/dcdss.2025058

Periodic solutions of differential systems with curvature-like principal part and unbounded nonlinearity

Marco Degiovanni, VALENTINA FOLLONI

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

We consider a Lagrangian system with a curvature-like principal part. Under suitable assumptions, we prove the existence of a nonconstant periodic solution. For this purpose, nonsmooth variational methods are applied.

Lingua originale	Inglese
pagine (da-a)	N/A-N/A
Rivista	Discrete and Continuous Dynamical Systems - Series S
Numero di pubblicazione	N/A
DOI	https://doi.org/10.3934/dcdss.2025058
Stato di pubblicazione	Pubblicato - 2025

Keywords

Lagrangian systems
Length functional
Nonsmooth critical point theory
Periodic solutions
Total variation functional

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10.3934/dcdss.2025058

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title = "Periodic solutions of differential systems with curvature-like principal part and unbounded nonlinearity",

abstract = "We consider a Lagrangian system with a curvature-like principal part. Under suitable assumptions, we prove the existence of a nonconstant periodic solution. For this purpose, nonsmooth variational methods are applied.",

keywords = "Lagrangian systems, Length functional, Nonsmooth critical point theory, Periodic solutions, Total variation functional, Lagrangian systems, Length functional, Nonsmooth critical point theory, Periodic solutions, Total variation functional",

author = "Marco Degiovanni and VALENTINA FOLLONI",

year = "2025",

doi = "10.3934/dcdss.2025058",

language = "English",

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journal = "Discrete and Continuous Dynamical Systems - Series S",

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publisher = "American Institute of Mathematical Sciences",

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T1 - Periodic solutions of differential systems with curvature-like principal part and unbounded nonlinearity

AU - Degiovanni, Marco

AU - FOLLONI, VALENTINA

PY - 2025

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N2 - We consider a Lagrangian system with a curvature-like principal part. Under suitable assumptions, we prove the existence of a nonconstant periodic solution. For this purpose, nonsmooth variational methods are applied.

AB - We consider a Lagrangian system with a curvature-like principal part. Under suitable assumptions, we prove the existence of a nonconstant periodic solution. For this purpose, nonsmooth variational methods are applied.

KW - Lagrangian systems

KW - Length functional

KW - Nonsmooth critical point theory

KW - Periodic solutions

KW - Total variation functional

KW - Lagrangian systems

KW - Length functional

KW - Nonsmooth critical point theory

KW - Periodic solutions

KW - Total variation functional

UR - https://publicatt.unicatt.it/handle/10807/311948

U2 - 10.3934/dcdss.2025058

DO - 10.3934/dcdss.2025058

M3 - Article

SN - 1937-1632

SP - N/A-N/A

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - N/A

ER -

Periodic solutions of differential systems with curvature-like principal part and unbounded nonlinearity

Abstract

Keywords

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