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http://hdl.handle.net/10773/35029| Title: | Composition functionals in higher order calculus of variations and Noether's theorem |
| Author: | Frederico, Gastão S. F. Sousa, J. Vanterler da C. Almeida, Ricardo |
| Keywords: | Higher-order Noether’s theorem Existence and uniqueness DuBois-Reymond conditions Euler–Lagrange equations |
| Issue Date: | 2022 |
| Publisher: | Taylor Francis |
| Abstract: | 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, and under additional constraints. We consider the higher-order Noether's theorem and discuss invariance conditions for the main problem. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/35029 |
| DOI: | 10.1080/00036811.2021.1921159 |
| ISSN: | 0003-6811 |
| Publisher Version: | https://www.tandfonline.com/doi/abs/10.1080/00036811.2021.1921159 |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [2022] Composition functionals in higher order calculus of variations and Noether s theorem.pdf | 1.72 MB | Adobe PDF |  |
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