Composition functionals in higher order calculus of variations and Noether's theorem. Issue 17 (22nd November 2022)
- Record Type:
- Journal Article
- Title:
- Composition functionals in higher order calculus of variations and Noether's theorem. Issue 17 (22nd November 2022)
- Main Title:
- Composition functionals in higher order calculus of variations and Noether's theorem
- Authors:
- Frederico, Gastão S. F.
Sousa, J. Vanterler da C.
Almeida, Ricardo - Abstract:
- 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 ( [ t 1, t 2 ] ; 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.
- Is Part Of:
- Applicable analysis. Volume 101:Issue 17(2022)
- Journal:
- Applicable analysis
- Issue:
- Volume 101:Issue 17(2022)
- Issue Display:
- Volume 101, Issue 17 (2022)
- Year:
- 2022
- Volume:
- 101
- Issue:
- 17
- Issue Sort Value:
- 2022-0101-0017-0000
- Page Start:
- 6321
- Page End:
- 6338
- Publication Date:
- 2022-11-22
- Subjects:
- Higher-order Noether's theorem -- existence and uniqueness -- DuBois-Reymond conditions -- Euler–Lagrange equations
49S05 -- 70H03 -- 49K15
Mathematical analysis -- Periodicals
515 - Journal URLs:
- http://www.tandfonline.com/toc/gapa20/current ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00036811.2021.1921159 ↗
- Languages:
- English
- ISSNs:
- 0003-6811
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 1570.450000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 23956.xml