Regularity of minima: an invitation to the Dark Side of the Calculus of Variations

Giuseppe Mingione

Applications of Mathematics (2006)

  • Volume: 51, Issue: 4, page 355-426
  • ISSN: 0862-7940

Abstract

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I am presenting a survey of regularity results for both minima of variational integrals, and solutions to non-linear elliptic, and sometimes parabolic, systems of partial differential equations. I will try to take the reader to the Dark Side...

How to cite

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Mingione, Giuseppe. "Regularity of minima: an invitation to the Dark Side of the Calculus of Variations." Applications of Mathematics 51.4 (2006): 355-426. <http://eudml.org/doc/33259>.

@article{Mingione2006,
abstract = {I am presenting a survey of regularity results for both minima of variational integrals, and solutions to non-linear elliptic, and sometimes parabolic, systems of partial differential equations. I will try to take the reader to the Dark Side...},
author = {Mingione, Giuseppe},
journal = {Applications of Mathematics},
keywords = {regularity; minimizers; Dark Side; regularity; minimizers; Dark Side},
language = {eng},
number = {4},
pages = {355-426},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regularity of minima: an invitation to the Dark Side of the Calculus of Variations},
url = {http://eudml.org/doc/33259},
volume = {51},
year = {2006},
}

TY - JOUR
AU - Mingione, Giuseppe
TI - Regularity of minima: an invitation to the Dark Side of the Calculus of Variations
JO - Applications of Mathematics
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 4
SP - 355
EP - 426
AB - I am presenting a survey of regularity results for both minima of variational integrals, and solutions to non-linear elliptic, and sometimes parabolic, systems of partial differential equations. I will try to take the reader to the Dark Side...
LA - eng
KW - regularity; minimizers; Dark Side; regularity; minimizers; Dark Side
UR - http://eudml.org/doc/33259
ER -

References

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Citations in EuDML Documents

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  1. Noel J. Walkington, Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations
  2. Noel J. Walkington, Numerical approximation of nematic liquid crystal flows governed by the Ericksen-Leslie equations
  3. Lars Diening, Bianca Stroffolini, Anna Verde, Lipschitz regularity for some asymptotically convex problems
  4. Bruno De Maria, A regularity result for a convex functional and bounds for the singular set
  5. Mikil Foss, Giuseppe Mingione, Partial continuity for elliptic problems
  6. Lars Diening, Bianca Stroffolini, Anna Verde, Lipschitz regularity for some asymptotically convex problems

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