A direct proof of the Tonelli's partial regularity result

Author:

Ferriero Alessandro,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference13 articles.

1. One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation,;J. Ball;Arch. Rat. Mech. Anal.,1985

2. "One-Dimensional Variational Problems. An Introduction,";G. Buttazzo;Oxford Lecture Series in Mathematics and its Applications,1998

3. Reparameterizations and approximate values of integrals of the calculus of variations,;A. Cellina;J. Diff. Equations,2003

4. Existence and regularity in the small in the calculus of variations,;F. H. Clarke;J. Diff. Equations,1985

5. Regularity properties of solutions to the basic problem in the calculus of variations,;F. H. Clarke;Trans. Am. Math. Soc.,1985

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Calculus of Variations;Universitext;2018

2. Variations, approximation, and low regularity in one dimension;Calculus of Variations and Partial Differential Equations;2017-04-13

3. Singular sets and the Lavrentiev phenomenon;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2015-06

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