Composition functionals in higher order calculus of variations and Noether's theorem

In the present paper, we discuss the existence and uniqueness of solution for higher-order calculus of variations problems, involving composition of functionals. Also, higher-order DuBois-Reymond conditions in the Sobolev space W m,p ([t₁,t₂];R) are proven, both in integral and differential form, an...

Full description

Bibliographic Details
Main Author: Frederico, Gastão S. F. (author)
Other Authors: Sousa, J. Vanterler da C. (author), Almeida, Ricardo (author)
Format: article
Language:eng
Published: 2022
Subjects:
Online Access:http://hdl.handle.net/10773/35029
Country:Portugal
Oai:oai:ria.ua.pt:10773/35029