Variational integrals for elliptic complexes

Flavia Giannetti; Anna Verde

Studia Mathematica (2000)

  • Volume: 140, Issue: 1, page 79-98
  • ISSN: 0039-3223

Abstract

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We discuss variational integrals which are defined on differential forms associated with a given first order elliptic complex. This general framework provides us with better understanding of the concepts of convexity, even in the classical setting D ' ( ℝ n , ℝ ) ∇ → D ' ( ℝ n , ℝ n ) c u r l → D ' ( ℝ n , ℝ n × n )

How to cite

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Giannetti, Flavia, and Verde, Anna. "Variational integrals for elliptic complexes." Studia Mathematica 140.1 (2000): 79-98. <http://eudml.org/doc/216757>.

@article{Giannetti2000,
abstract = {We discuss variational integrals which are defined on differential forms associated with a given first order elliptic complex. This general framework provides us with better understanding of the concepts of convexity, even in the classical setting $D^\{\prime \}(ℝ^n,ℝ) \{∇\over →\} D^\{\prime \}(ℝ^n,ℝ^n) \{\{curl\}\over \{→\}\} D^\{\prime \}(ℝ^n,ℝ^\{n×n\})$},
author = {Giannetti, Flavia, Verde, Anna},
journal = {Studia Mathematica},
keywords = {elliptic complexes; Hilbert transform; quasiharmonic fields},
language = {eng},
number = {1},
pages = {79-98},
title = {Variational integrals for elliptic complexes},
url = {http://eudml.org/doc/216757},
volume = {140},
year = {2000},
}

TY - JOUR
AU - Giannetti, Flavia
AU - Verde, Anna
TI - Variational integrals for elliptic complexes
JO - Studia Mathematica
PY - 2000
VL - 140
IS - 1
SP - 79
EP - 98
AB - We discuss variational integrals which are defined on differential forms associated with a given first order elliptic complex. This general framework provides us with better understanding of the concepts of convexity, even in the classical setting $D^{\prime }(ℝ^n,ℝ) {∇\over →} D^{\prime }(ℝ^n,ℝ^n) {{curl}\over {→}} D^{\prime }(ℝ^n,ℝ^{n×n})$
LA - eng
KW - elliptic complexes; Hilbert transform; quasiharmonic fields
UR - http://eudml.org/doc/216757
ER -

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