A regularity theory for variational integrals with L in L-Growth

Calculus of Variations and Partial Differential Equations

Volumn 6, Issue 2, 1998, Pages 171-187

  Fuchs, Martin ^a   Seregin, Gregory ^b  

^a SAARLAND UNIVERSITY   (Germany)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010122911     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260050088     Document Type: Article

References (11)

1. [AG] Anzellotti, G., Giaquinta, M., Convex functionals and partial regularity, Arch. Rat. Mech. Anal. 102 (1988), 243-272
2. [AM] Astarita, G., Marrucci, G., Principles of Non-Newtonian Fluid Mechanics, McGraw-Hill, London, 1974
3. n, Ann. Acad. Sci. Fenn. Ser. A.I. 8 (1983), 257-324
4. [EG] Evans, L.C., Gariepy, R.F., Blow up, compactness and partial regularity in the calculus of variations, Ind. Univ. Math. J. (2) 36 (1987), 361-371
5. [F] Frehse, J., Twodimensional variational problems with thin obstacles. Math. Z. 143 (1975), 279-288
6. [FrS] Frehse, J., Seregin, G., Regularity for solutions of variational problems in the deformation theory of plasticity with logarithmic hardening, Preprint No.421, SFB 256 Universität Bonn (1995), Proceedings of the St. Petersburg Mathematical Society, Vol.5 (in press)
7. [FuR] Fuchs, M., Reuling, J., A modification of the blow-up technique for variational integrals with subquadratic growth. J. Math. Anal. Appl. (in press)
8. [I] Iwaniec, T., LP-theory of quasiregular mappings, Quasiconformal space Mappings. A collection of surveys 1960-1990, Lecture Notes in Math. 1508, Springer Verlag 1992
9. [M] Marcellini, P., Regularity for elliptic equations with general growth conditions, J. Diff. Eq. (2) 105 (1993), 296-333
10. [Se] Seregin, G., Some remarks on variational problems for functionals with L In L-growth, Zapiski Nauchn.Sem. POMI, Petersburg Odtel. Steklov Math. Inst. 213 (1994), 164-174
11. [St] Stein, E., Singular integrals and differentiability pproperties of functions, Princeton U.P., Princeton, 1970