The singular set of ω-minima

Archive for Rational Mechanics and Analysis

Volumn 177, Issue 1, 2005, Pages 93-114

  Kristensen, Jan ^a   Mingione, Giuseppe ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF PARMA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 20644458552     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-005-0361-x     Document Type: Article

References (16)

1. ACERBI, E., Fusco, N.: Regularity for minimizers of nonquadratic functionals: the case 1 < p < 2. J. Math. Anal. Appl. 140, 115-135 (1989)
2. ADAMS, R. A.: Sobolev Spaces. Academic Press, New York, 1975
3. ALMGREN, F.J.: Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints. Mem. Amer. Math. Soc. 4, (1976)
4. BOMBIERI, E.: Regularity theory for almost minimal currents. Arch. Ration. Mech. Anal. 78, 99-130 (1982)
5. DUZAAR, F., GASTEL, A., GROTOWSKI, J.: Partial regularity for almost minimizers of quasi-convex integrals. SIAM J. Math. Anal. 32, 665-687 (2000)
6. DUZAAR, F., GROTOWSKI, J., KRONZ, M.: Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth. Ann. Mat. Pura Appl. (IV), online (2004), DOI: 10.1007/s10231-004-0117-5
7. DUZAAR, F., KRONZ, M.: Regularity of ω-minimizers of quasi-convex variational integrals with polynomial growth. Differential Geom. Appl. 17, 139-152 (2002)
8. DUZAAR, F., STEFFEN, K.: Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals. J. Reine Angew. Math. 546, 73-138 (2002)
9. ESPOSITO, L., LEONETTI, F., MINGIONE, G.: Regularity results for minimizers of irregular integrals with (p, q) growth. Forum Mathematician 14, 245-272 (2002)
10. FONSECA, I., Fusco, N.: Regularity results for anisotropic image segmentation models. Ann. Sc. Norm. Sup. Pisa Cl. Sci. (IV) 24, 463-499 (1997)
11. GIAQUINTA, M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Ann. of Math. Studies 105, Princeton Univ. Press, Princeton, 1983
12. GIUSTI, E.: Direct methods in the calculus of variations. World Scientific Publishing Co. Inc., River Edge, NJ, 2003
13. HAMBURGER, C.: Regularity of differential forms minimizing degenerate elliptic functionals. J. Reine Angew. Math. 431, 7-64 (1992)
14. IWANIEC, T.: The Gehring Lemma. In: Quasiconformal Mappings and Analysis. Eds. P.L. Duren, J.M. Heinonen, B.P. Palka. Springer-Verlag, New York, 1998
15. MINGIONE, G.: The singular set of solutions to non-differentiable elliptic systems. Arch. Ration. Mech. Anal. 166, 287-301 (2003)
16. STREDULINSKY, E.W.: Higher integrability from reverse Holder inequalities. Indiana Univ. Math. J. 29, 407-413 (1980)