@article{ASNSP_1991_4_18_3_321_0, author = {Carriero, M. and Leaci, A.}, title = {$S^k$-valued maps minimizing the $L^p$ norm of the gradient with free discontinuities}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {321--352}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 18}, number = {3}, year = {1991}, mrnumber = {1145314}, zbl = {0753.49018}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1991_4_18_3_321_0/} }
TY - JOUR AU - Carriero, M. AU - Leaci, A. TI - $S^k$-valued maps minimizing the $L^p$ norm of the gradient with free discontinuities JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1991 SP - 321 EP - 352 VL - 18 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1991_4_18_3_321_0/ LA - en ID - ASNSP_1991_4_18_3_321_0 ER -
%0 Journal Article %A Carriero, M. %A Leaci, A. %T $S^k$-valued maps minimizing the $L^p$ norm of the gradient with free discontinuities %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1991 %P 321-352 %V 18 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1991_4_18_3_321_0/ %G en %F ASNSP_1991_4_18_3_321_0
Carriero, M.; Leaci, A. $S^k$-valued maps minimizing the $L^p$ norm of the gradient with free discontinuities. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 18 (1991) no. 3, pp. 321-352. http://www.numdam.org/item/ASNSP_1991_4_18_3_321_0/
[1] Regularity for minimizers of non-quadratic functionals: the case 1 <p<2, J. Math. Anal. Appl., 140 (1989), 115-135. | MR | Zbl
- ,[2] Singularities of energy minimizing maps from the ball to the sphere: Examples, counterexamples, and bounds, Ann. of Math., 128 (1988), 483-530. | MR | Zbl
- ,[3] A compactness theorem for a special class of functions of bounded variation, Boll. Un. Mat. Ital., 3-B (1989), 857-881. | MR | Zbl
,[4] Existence theory for a new class of variational problems, Arch. Rational Mech. Anal., 111 (1990), 291-322. | MR | Zbl
,[5] The chain rule for the distributional derivatives, Proc. Amer. Math. Soc., to appear. | MR | Zbl
- ,[6] Approximation of functionals depending on jumps by elliptic functionals via r-convergence, Comm. Pure Appl. Math., 43 (1990), 999-1036. | MR | Zbl
- ,[7] Relaxed energies for harmonic maps, Preprint 1989. | MR | Zbl
- - ,[8] Harmonic Maps with Defects, Comm. Math. Phys., 107 (1986), 679-705. | MR | Zbl
- - ,[9] Existence theorem for a Dirichlet problem with free discontinuity set, Nonlinear Anal. TMA, 15 (1990), 661-677. | MR | Zbl
- ,[10] Liquid Crystals. Cambridge University Press, Cambridge, 1977.
,[11] Free Discontinuity Problems in Calculus of Variations, Proc. Int. Meeting in J.L. Lions's honour, Paris, June 6-10, 1988, to appear. | Zbl
,[12] Un nuovo tipo di funzionale del Calcolo delle Variazioni, Atti Accad. Naz. Lincei, 82 (1988), 199-210. | Zbl
- ,[13) Existence theorem for a minimum problem with free discontinuity set, Arch. Rational Mech. Anal., 108 (1989), 195-218. | MR | Zbl
- - ,[14] Another report on harmonic maps, Bull. London Math. Soc., 20 (1988), 385-524. | MR | Zbl
- ,[15] Equilibrium theory of liquid crystals, Adv. Liq. Cryst., Vol. 2, G.H. Brown Ed., Academic Press, New York, 1976, 233-299.
,[16] Geometric Measure Theory, Springer Verlag, Berlin, 1969. | MR | Zbl
,[17] The singular set of the minima of certain quadratic functionals, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 11 (1984), 45-55. | Numdam | MR | Zbl
- ,[18] Remarks on the regularity of the minimizers of certain degenerate functionals, Manuscripta Math., 57 (1986), 55-100. | MR | Zbl
- ,[19] Cartesian currents and variational problems for mappings into spheres, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 16 (1989), 393-485. | Numdam | MR | Zbl
- - ,[20] J. SOUčEK, The Dirichlet energy of mappings with values into the sphere, Manuscripta Math., 65 (1989), 489-507. | MR | Zbl
- -[21] Minimal Surfaces and Functions of Bounded Variation. Birkhäuser Verlag, Boston, 1984. | MR | Zbl
,[22] Existence and partial regularity of static liquid crystal configurations, Comm. Math. Phys., 105 (1986), 547-570. | MR | Zbl
- - ,[23] Mappings minimizing the LP norm of the gradient, Comm. Pure Appl. Math., 40 (1987), 555-588. | MR | Zbl
- ,[24] A remark on H1 mappings, Manuscripta Math., 56 (1986), 1-10. | MR | Zbl
- ,[25] Minimal Surfaces of Codimension One, North-Holland, Amsterdam, 1984. | MR | Zbl
- ,[26] Multiple Integrals in the Calculus of Variations, Springer Verlag, New York, 1966. | MR | Zbl
,[27] A regularity theory for harmonic maps, J. Differential Geom., 18 (1982), 307-335. | MR | Zbl
- ,[28] Boundary regularity and the Dirichlet problem of harmonic maps, J. Differential Geom., 18 (1983), 253-268. | MR | Zbl
- ,[29] Everywhere regularity for some quasilinear systems with a lack of ellipticity, Ann. Mat. Pura Appl., 134 (1983), 241-266. | MR | Zbl
,[30] Drops of nematic liquid crystals, Arch. Rational Mech. Anal., 107 (1989), 371-390. | MR | Zbl
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