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Partial regularity for minimizers of variational integrals with discontinuous integrands
Christoph Hamburger
Annales de l'I.H.P. Analyse non linéaire
(1996)
- Volume: 13, Issue: 3, page 255-282
- ISSN: 0294-1449
Hamburger, Christoph. "Partial regularity for minimizers of variational integrals with discontinuous integrands." Annales de l'I.H.P. Analyse non linéaire 13.3 (1996): 255-282. <http://eudml.org/doc/78382>.
@article{Hamburger1996,
author = {Hamburger, Christoph},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {quasiconvexity; discontinuous integrand; strict convexity},
language = {eng},
number = {3},
pages = {255-282},
publisher = {Gauthier-Villars},
title = {Partial regularity for minimizers of variational integrals with discontinuous integrands},
url = {http://eudml.org/doc/78382},
volume = {13},
year = {1996},
}
TY - JOUR
AU - Hamburger, Christoph
TI - Partial regularity for minimizers of variational integrals with discontinuous integrands
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1996
PB - Gauthier-Villars
VL - 13
IS - 3
SP - 255
EP - 282
LA - eng
KW - quasiconvexity; discontinuous integrand; strict convexity
UR - http://eudml.org/doc/78382
ER -
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- [E1] L.C. Evans, Quasiconvexity and partial regularity in the calculus of variations. Arch. Rational Mech. Anal., Vol. 95, 1986, pp. 227-252. Zbl0627.49006MR853966
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[F-H] N. Fusco and J. Hutchinson, C1,α partial regularity of functions minimising quasiconvex integrals. Manuscripta math., Vol. 54, 1985, pp. 121-143. Zbl0587.49005MR808684
- [G1] M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems. Princeton Univ. Press, Princeton, 1983. Zbl0516.49003MR717034
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- [G3] M. Giaquinta, Quasiconvexity, growth conditions and partial regularity. In: S. HILDEBRANDT and R. LEIS (Eds.) Partial differential equations and calculus of variations. Lecture notes in mathematics, Vol. 1357, Springer, Berlin, 1988. Zbl0658.49006MR976237
- [G-G1] M. Giaquinta and E. Giusti, On the regularity of the minima of variational integrals. Acta Math., Vol. 148, 1982, pp. 31-46. Zbl0494.49031MR666107
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[G-G2] M. Giaquinta and E. Giusti, Differentiability of minima of nondifferentiable functionals. Inv. Math., Vol. 72, 1983, pp. 285-298. Zbl0513.49003MR700772
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[G-M] M. Giaquinta and G. Modica, Partial regularity of minimizers of quasiconvex integrals. Ann. Inst. H. Poincaré, Analyse non linéaire, Vol 3, 1986, pp. 185-208. Zbl0594.49004MR847306
- [H] C. Hamburger, An elementary partial regularity proof for solutions of nonlinear elliptic systems. SFB256, Bonn, Preprint 353, 1994. MR1014470
- [Ho] M.C. Hong, Existence and partial regularity in the calculus of variations. Ann. Mat. Pura Appl., Vol. 149, 1987, pp. 311-328. Zbl0648.49008MR932791
- [R] W. Rudin, Real and complex analysis. McGraw-Hill, New York, 1987. Zbl0925.00005MR924157
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