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.
Degiovanni, M., Folloni, V., Periodic solutions of differential systems with curvature-like principal part and unbounded nonlinearity, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S>>, 2025; (N/A): N/A-N/A. [doi:10.3934/dcdss.2025058] [https://hdl.handle.net/10807/311948]
Periodic solutions of differential systems with curvature-like principal part and unbounded nonlinearity
Degiovanni, Marco
Primo
Conceptualization
;Folloni, ValentinaSecondo
Conceptualization
2025
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.
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