On weak minima of certain integral functionals

Gioconda Moscariello

Annales Polonici Mathematici (1998)

  • Volume: 69, Issue: 1, page 37-48
  • ISSN: 0066-2216

Abstract

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We prove a regularity result for weak minima of integral functionals of the form ∫ Ω F ( x , D u ) d x where F(x,ξ) is a Carathéodory function which grows as | ξ | p with some p > 1.

How to cite

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Gioconda Moscariello. "On weak minima of certain integral functionals." Annales Polonici Mathematici 69.1 (1998): 37-48. <http://eudml.org/doc/270277>.

@article{GiocondaMoscariello1998,
abstract = {We prove a regularity result for weak minima of integral functionals of the form $∫_Ω F(x,Du) dx$ where F(x,ξ) is a Carathéodory function which grows as $|ξ|^p$ with some p > 1.},
author = {Gioconda Moscariello},
journal = {Annales Polonici Mathematici},
keywords = {weak minimizer; maximal functions; regularity; integral functionals; weak minimum; Hodge decomposition; reverse Hölder inequalities},
language = {eng},
number = {1},
pages = {37-48},
title = {On weak minima of certain integral functionals},
url = {http://eudml.org/doc/270277},
volume = {69},
year = {1998},
}

TY - JOUR
AU - Gioconda Moscariello
TI - On weak minima of certain integral functionals
JO - Annales Polonici Mathematici
PY - 1998
VL - 69
IS - 1
SP - 37
EP - 48
AB - We prove a regularity result for weak minima of integral functionals of the form $∫_Ω F(x,Du) dx$ where F(x,ξ) is a Carathéodory function which grows as $|ξ|^p$ with some p > 1.
LA - eng
KW - weak minimizer; maximal functions; regularity; integral functionals; weak minimum; Hodge decomposition; reverse Hölder inequalities
UR - http://eudml.org/doc/270277
ER -

References

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  10. [IS] T. Iwaniec and C. Sbordone, Weak minima of variational integrals, J. Reine Angew. Math. 454 (1994), 143-161. Zbl0802.35016
  11. [Le] J. Lewis, On very weak solutions of certain elliptic systems, Comm. Partial Differential Equations 18 (1993), 1515-1537. Zbl0796.35061
  12. [Mo] G. Moscariello, Weak minima and quasiminima of variational integrals, Boll. Un. Mat. Ital. B 11 (1997), 355-364. Zbl0890.49003
  13. [Mu] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226. Zbl0236.26016
  14. [Sb] C. Sbordone, Quasiminima of degenerate functionals with non polynomial growth, Rend. Sem. Mat. Fis. Milano 59 (1989), 173-184. Zbl0760.49023
  15. [To] A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Pure and Appl. Math. 123, Academic Press, 1986. 

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