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

被引：3

作者：

Frederico, Gastao S. F. ^{[1
]}

Sousa, J. Vanterler da C. ^{[2
]}

Almeida, Ricardo ^{[3
]}

机构：

[1] Univ Fed Ceara, Dept Math, Campus Russas, Russas, Brazil

[2] Univ Estadual Campinas, Dept Appl Math, Imecc, Campinas, SP, Brazil

[3] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, Aveiro, Portugal

来源：

APPLICABLE ANALYSIS | 2022年 / 101卷 / 17期

关键词：

Higher-order Noether's theorem; existence and uniqueness; DuBois-Reymond conditions; Euler-Lagrange equations; EULER-LAGRANGE EQUATION; DERIVATIVES; REGULARITY;

D O I：

10.1080/00036811.2021.1921159

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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,W-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.

引用

页码：6321 / 6338

页数：18

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