@article{AIHPC_2002__19_1_81_0, author = {Kronz, Manfred}, title = {Partial regularity results for minimizers of quasiconvex functionals of higher order}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {81--112}, publisher = {Elsevier}, volume = {19}, number = {1}, year = {2002}, mrnumber = {1902546}, zbl = {1010.49023}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_2002__19_1_81_0/} }
TY - JOUR AU - Kronz, Manfred TI - Partial regularity results for minimizers of quasiconvex functionals of higher order JO - Annales de l'I.H.P. Analyse non linéaire PY - 2002 SP - 81 EP - 112 VL - 19 IS - 1 PB - Elsevier UR - http://archive.numdam.org/item/AIHPC_2002__19_1_81_0/ LA - en ID - AIHPC_2002__19_1_81_0 ER -
Kronz, Manfred. Partial regularity results for minimizers of quasiconvex functionals of higher order. Annales de l'I.H.P. Analyse non linéaire, Volume 19 (2002) no. 1, pp. 81-112. http://archive.numdam.org/item/AIHPC_2002__19_1_81_0/
[1] Semicontinuity of problems in the calculus of variations, Arch. Rat. Mech. Anal. 86 (1984) 125-145. | MR | Zbl
, ,[2] Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal. 63 (1977) 337-403. | MR | Zbl
,[3] Proprietà di una famiglia di spazi funzionali, Ann. Scoula Norm. Sup. Pisa 18 (1964) 137-160. | Numdam | MR | Zbl
,[4] Teoremi di interpolazione per tranformazioni che applicano Lp in Ch,α, Ann. Scoula Norm. Sup. Pisa 18 (1964) 345-360. | Numdam | Zbl
,[5] Equazioni ellitichi del IIe ordine e spazi L2,λ, Ann. Mat. Pura Appl. 69 (1965) 321-381. | Zbl
,[6] Alcune osservazioni relative alle soluzioni di equazioni ellittiche di ordine 2m, in: Atti Convegno Equaz. Der. Parz., Bologna, 1967, pp. 17-25. | MR
,[7] Direct Methods in the Calculus of Variations, Springer, Berlin, 1989. | MR | Zbl
,[8] Duzaar F., Steffen K., Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals, preprint. | MR
[9] Quasiconvexitity and partial regularity in the calculus of variations, Arch. Rat. Mech. Anal. 95 (1986) 227-252. | MR | Zbl
,[10] Measure Theory and Fine Properties of Functions, CRC Press, Boca Raton, 1992. | MR | Zbl
, ,[11] Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Princeton University Press, Princeton, 1983. | MR | Zbl
,[12] Introduction to Regularity Theory for Nonlinear Elliptic Systems, Birkhäuser, Basel, 1993. | MR | Zbl
,[13] Regularity results for some classes of higher order nonlinear elliptic systems, J. Reine Angew. Math. 311 (1979) 145-169. | MR | Zbl
, ,[14] Partial regularity of minimizers of quasiconvex integrals, Ann. Inst. Henri Poincaré, Analyse non Linéaire 3 (1986) 185-208. | Numdam | MR | Zbl
, ,[15] Lower semicontinuity of quasiconvex integrals of higher order, Nonlinear Differ. Equations Appl. 6 (1999) 227-246. | MR | Zbl
, ,[16] Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1983. | MR | Zbl
, ,[17] Approximation of quasiconvex functions and lower semicontinuity of multiple integrals, Manuscripta Math. 51 (1985) 1-28. | MR | Zbl
,[18] Quasi-convexity and lower semi-continuity of multiple variational integrals of any order, Trans. Amer. Math. Soc. 119 (1965) 125-149. | MR | Zbl
,[19] Quasiconvexity and the lower semicontinuity of multiple integrals, Pacific J. Math. 2 (1952) 25-53. | MR | Zbl
,[20] Lectures on Geometric Measure Theory, Australian National University Press, 1983. | MR | Zbl
,[21] Theorems on Regularity and Singularity of Energy Minimizing Maps, Birkhäuser, Basel, 1996. | MR | Zbl
,[22] Weak lower semicontinuity of a functional with any order, J. Math. Anal. Appl. 221 (1998) 217-237. | MR | Zbl
,