Notions of affinity in calculus of variations with differential forms-Reference-Cited by-同舟云学术

Notions of affinity in calculus of variations with differential forms

Published:2016-07-01 Issue:3 Volume:9 Page:293-304
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:
Short-container-title:

Author:

Bandyopadhyay Saugata¹,Sil Swarnendu²

Affiliation:

1. 1Department of Mathematics & Statistics, IISER Kolkata, Mohanpur 741246, India

2. 2Section de Mathématiques, Station 8, EPFL, 1015 Lausanne, Switzerland

Abstract

AbstractExt-int. one affine functions are functions affine in the direction of one-divisible exterior forms with respect to the exterior product in one variable and with respect to the interior product in the other. The purpose of this article is to prove a characterization theorem for this class of functions, which plays an important role in the calculus of variations for differential forms.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2015-0022/pdf

Reference16 articles.

1. Calculus of variations with differential forms;J. Eur. Math. Soc. (JEMS),2015

2. Necessary and sufficient conditions for existence of solutions of a variational problem involving the curl;Discrete Contin. Dyn. Syst.,2005

3. Exterior convexity and classical calculus of variations;ESAIM Control Optim. Calc. Var.

4. Divisibility in Grassmann algebra;Linear Multilinear Algebra,2011

Cited by 1 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. Calderón-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients;Journal of Differential Equations;2024-07