A partial regularity result for a class of stationary Yang-Mills in high dimension.

Yves Meyer; Tristan Rivière

Revista Matemática Iberoamericana (2003)

  • Volume: 19, Issue: 1, page 195-219
  • ISSN: 0213-2230

Abstract

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We prove, for arbitrary dimension of the base n greater than or equal to 4, stationary Yang-Mills Fields satisfying Borne approximability property are regular apart from a closed subset of the base having zero (n-4)- Hausdorff measure.

How to cite

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Meyer, Yves, and Rivière, Tristan. "A partial regularity result for a class of stationary Yang-Mills in high dimension.." Revista Matemática Iberoamericana 19.1 (2003): 195-219. <http://eudml.org/doc/39691>.

@article{Meyer2003,
abstract = {We prove, for arbitrary dimension of the base n greater than or equal to 4, stationary Yang-Mills Fields satisfying Borne approximability property are regular apart from a closed subset of the base having zero (n-4)- Hausdorff measure.},
author = {Meyer, Yves, Rivière, Tristan},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoría cuántica de campos; Teorías gauge; Ecuaciones diferenciales elípticas; Ecuaciones en derivadas parciales no lineales; Regularidad; Espacios de funciones lineales; Teorías de Yang-Mills; Yang-Mills Fields; Gauge Theory; Nonlinear elliptic regularity theory; Interpolation inequalities; Morrey Spaces},
language = {eng},
number = {1},
pages = {195-219},
title = {A partial regularity result for a class of stationary Yang-Mills in high dimension.},
url = {http://eudml.org/doc/39691},
volume = {19},
year = {2003},
}

TY - JOUR
AU - Meyer, Yves
AU - Rivière, Tristan
TI - A partial regularity result for a class of stationary Yang-Mills in high dimension.
JO - Revista Matemática Iberoamericana
PY - 2003
VL - 19
IS - 1
SP - 195
EP - 219
AB - We prove, for arbitrary dimension of the base n greater than or equal to 4, stationary Yang-Mills Fields satisfying Borne approximability property are regular apart from a closed subset of the base having zero (n-4)- Hausdorff measure.
LA - eng
KW - Teoría cuántica de campos; Teorías gauge; Ecuaciones diferenciales elípticas; Ecuaciones en derivadas parciales no lineales; Regularidad; Espacios de funciones lineales; Teorías de Yang-Mills; Yang-Mills Fields; Gauge Theory; Nonlinear elliptic regularity theory; Interpolation inequalities; Morrey Spaces
UR - http://eudml.org/doc/39691
ER -

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