@article{AIHPC_1988__5_4_297_0, author = {Hardt, Robert and Kinderlehrer, David and Lin, Fang Hua}, title = {Stable defects of minimizers of constrained variational principles}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {5}, year = {1988}, pages = {297-322}, mrnumber = {963102}, zbl = {0657.49018}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1988__5_4_297_0} }
Hardt, R.; Kinderlehrer, D.; Lin, Fang-Hua. Stable defects of minimizers of constrained variational principles. Annales de l'I.H.P. Analyse non linéaire, Tome 5 (1988) pp. 297-322. http://gdmltest.u-ga.fr/item/AIHPC_1988__5_4_297_0/
[AL] Singularities of Energy Minimizing Maps from the Ball to the Sphere, preprint.
and ,[BCL1] Estimations d'energie pour des applications de R3 a valours dans S2, C.R. Acad. Sci. Paris, t. 303, Series I, 1986, pp. 207-210. | MR 854735
, and ,[BCL2] Harmonic Maps with Defects, Comm. Math. Physics, Vol. 107, 1986, pp. 699-705. | MR 868739 | Zbl 0608.58016
, and ,[BC] Defects in Liquid Crystals, Physics Today, Vol. 35, 1982, pp. 48-54.
and ,[CE] Linearisation at Infinity and Lipschitz Estimates for Certain Problems in the Calculus of Variations, Proc. Royal Soc. Edinburgh, Vol. 102A, 1986, pp. 291-303. | MR 852362 | Zbl 0602.49029
and ,[CHKLL] Minimum Energy Configurations from Liquid Crystals: Computational Results, Theory and appl. of liquid crystals, I.M.A., Volumes in Math. and Appl., Vol. 5 Springer, 1987, 99-122.
, , , and ,[DF] Optimal Regularity Theorems for Variational Problems with Obstacles, Mansucripta Math. (to appear). | Zbl 0605.49006
and ,[EG] Blow-Up, Compactness and Partial Regularity in the Calculus of Variations, Preprint. Univ. of Maryland, 1985. | MR 934775
and ,[E] Equilibrium Theory of Liquid Crystals, Adv. Liq. Cryst., Vol. 2, G. H. BROWN Ed., Academic Press, 1976, pp. 233-299.
,[F] Geometric Measure Theory, Springer-Verlag, Berlin, Heidelberg, and New York, 1969. | MR 257325 | Zbl 0176.00801
,[Fu] P-Harmonic Obstacle Problems, Preprint, Dusseldorf, 1986.
,[FH] Partial Regularity for Minimizers of Certain Functionals Having Nonquadratic Growth. Preprint, C.M.A., Canberra 1985.
and ,[G] Multiple Integrals in the Calculus of Variation and Nonlinear Elliptic Systems, Ann. Math. Studies, Vol. 105, Princeton University Press, Princeton, 1983. | MR 717034 | Zbl 0516.49003
,[GG] The Singular set of the Minima of Certain Quadratic Functionals, Ann. Sc. Norm. Sup. Pisa, (IV), Vol. XI, 1, 1984, pp. 45-55. | Numdam | MR 752579 | Zbl 0543.49018
and ,[GM] Partial Regularity of Minimizers of Quasiconvex Integrals, Ann. Inst. H. Poincaré, Analyse nonlinéaire, Vol. 3, 1986. | Numdam | MR 847306 | Zbl 0594.49004
and ,[HK1] Mathematical Questions of Liquid Crystal Theory, Theory and Applications of Liquid Crystals, I.M.A. Vol. in Math. and Appl., Vol. 5, J. L. ERICKSEN and D. KINDERLEHRER Eds., Springer, 1987, pp. 151-184. | MR 900833
and ,[HK2] Mathematical Questions of Liquid Crystal Theory. College de France Sem., 1987. | MR 900833 | Zbl 0704.76005
and ,[HKL1] Existence and Partial Regularity of Static Liquid Crystal Configurations, Comm. Math. Phys., Vol. 105, 1986, pp. 547-570. | MR 852090 | Zbl 0611.35077
, and ,[HKL2] A remark About the Stability of Smooth Equilibrium Configurations of Static Liquid Crystals, Mol. Cryst. Liq. Cryst., Vol. 139, 1986, pp. 189-194.
, and ,[HKLu] Remarks About the Mathematical Theory of Liquid Crystals, Proc. C.I.R.M. Trento, I.M.A., preprint 276 (to appear). | MR 974607 | Zbl 0696.49053
, and ,[HL1] Mappings Minimizing the Lp Norm of the Gradient, Comm. Pure & Appl. Math. (to appear). | Zbl 0646.49007
and ,[HL2] Stability of Singularities of Minimizing Harmonic Maps J. Diff. Geom., to appear . | Zbl 0673.58016
and ,[K] Remarks about Signorini's Problem in Linear Elasticity, Ann. S.N.S. Pisa, Vol. VIII, 1981, pp. 605-645. | Numdam | MR 656002 | Zbl 0482.73017
,[L] Some Topics in the Equilibrium Theory of Liquid Crystals, Theory and Applications of Liquid Crystals, I.M.A. Vol. in Math. and Appl., Vol. 5, J. L. ERICKSEN and D. KINDERLEHRER Eds., Springer, 1987, pp. 211-234.
,[Lu] Partial Holder Continuity for Minima of Certain Energies Among Maps into a Riemannian Manifold, Preprint 384, Universitat Heidelberg, 1986. | MR 963506
,[Mo] Harnack-Type Mass Bounds and Bernstein Theorems for Area Minimizing Flat Chains Modulov, Comm. P.D.E., Vol. 11, 1986, pp. 1257- 1286. | MR 857167 | Zbl 0617.49019
,[M] Multiple Integrals in the Calculus ov Variations, Springer, 1966. | Zbl 0142.38701
,[SU] A Regularity Theory for Harmonic Maps, J. Diff. Geom., Vol. 17, 1982, pp. 307-335. | MR 664498 | Zbl 0521.58021
and ,[W] A Regularity Theorem for Minimizing Hypersurfaces Modulo p, Proc. Symp. Pure Math. A.M.S., Vol. 44, 1984, pp. 413-428. | MR 840290 | Zbl 0586.49027
,[WPC] Nonsingular S = +1 Screw Disinclination Lines in Nematics, Phys. Rev. Letters, Vol. 29, 1972, pp. 90-92.
, and ,