The singular set of the minima of certain quadratic functionals

Mariano Giaquinta; Enrico Giusti

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)

  • Volume: 11, Issue: 1, page 45-55
  • ISSN: 0391-173X

How to cite

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Giaquinta, Mariano, and Giusti, Enrico. "The singular set of the minima of certain quadratic functionals." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.1 (1984): 45-55. <http://eudml.org/doc/83924>.

@article{Giaquinta1984,
author = {Giaquinta, Mariano, Giusti, Enrico},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {regularity of local minima; integral functional; singular set},
language = {eng},
number = {1},
pages = {45-55},
publisher = {Scuola normale superiore},
title = {The singular set of the minima of certain quadratic functionals},
url = {http://eudml.org/doc/83924},
volume = {11},
year = {1984},
}

TY - JOUR
AU - Giaquinta, Mariano
AU - Giusti, Enrico
TI - The singular set of the minima of certain quadratic functionals
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 1
SP - 45
EP - 55
LA - eng
KW - regularity of local minima; integral functional; singular set
UR - http://eudml.org/doc/83924
ER -

References

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  1. [1] H. Federer, The singular set of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension, Bull. Amer. Math. Soc., 76 (1970), pp. 767-771. Zbl0194.35803MR260981
  2. [2] M. Giaquinta - E. Giusti, On the regularity of the minima of variational integrals, Acta Math., 148 (1982), pp. 31-46. Zbl0494.49031MR666107
  3. [3] E. Giusti, Minimal surfaces and functions of bounded variation, Note on Pure Math., 10, Canberra (1977). Zbl0402.49033MR638362
  4. [4] E. Giusti - M. Miranda, Un esempio di soluzioni discontinue per un problema di minimo relativo ad un integrale regolare del calcolo delle variazioni, Boll. Un. Mat. Ital., 2 (1968), pp. 1-8. Zbl0155.44501MR232265
  5. [5] R. Schoen - K. Uhlenbeck, A regularity theory for harmonic maps, J. Differential Geometry, 17 (1982), pp. 307-335. Zbl0521.58021MR664498

Citations in EuDML Documents

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  1. J. M. Coron, On the singularities of harmonic maps from a domain in R 3 into S 2
  2. R. Hardt, D. Kinderlehrer, Fang-Hua Lin, Stable defects of minimizers of constrained variational principles
  3. M. Giaquinta, J. Souček, Harmonic maps into a hemisphere
  4. Atsushi Tachikawa, Partial regularity results up to the boundary for harmonic maps into a Finsler manifold
  5. M. Giaquinta, G. Modica, J. Souček, Cartesian currents and variational problems for mappings into spheres
  6. M. Carriero, A. Leaci, S k -valued maps minimizing the L p norm of the gradient with free discontinuities
  7. Min-Chun Hong, On the Jäger-Kaul theorem concerning harmonic maps

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