@article{AIHPC_2009__26_1_59_0,
author = {Gaudiello, Antonio and Hadiji, Rejeb},
title = {Asymptotic Analysis, in a Thin Multidomain, of Minimizing Maps With Values in ${S}^{2}$},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {26},
year = {2009},
pages = {59-80},
doi = {10.1016/j.anihpc.2007.06.002},
mrnumber = {2483813},
zbl = {1156.78300},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2009__26_1_59_0}
}
Gaudiello, Antonio; Hadiji, Rejeb. Asymptotic Analysis, in a Thin Multidomain, of Minimizing Maps With Values in ${S}^{2}$. Annales de l'I.H.P. Analyse non linéaire, Tome 26 (2009) pp. 59-80. doi : 10.1016/j.anihpc.2007.06.002. http://gdmltest.u-ga.fr/item/AIHPC_2009__26_1_59_0/
[1] , , , Relaxation in BV of Integral Functionals Defined on Sobolev Functions With Values in the Unit Sphere, J. Convex Anal. 14 (1) (2007) 69-98. | MR 2310429 | Zbl 1138.49017
[2] , , , Ginzburg-Landau Vortices, Birkhäuser, Boston, 1994. | MR 1269538 | Zbl 0802.35142
[3] , , Density of Smooth Functions Between Two Manifolds in Sobolev Spaces, J. Funct. Anal. 80 (2) (1988) 60-75. | MR 960223 | Zbl 0657.46027
[4] , Plates and Junctions in Elastic Multistructures: an Asymptotic Analysis, Research in Applied Mathematics, vol. 14, Masson, Springer-Verlag, Paris, Berlin, 1990. | MR 1071376 | Zbl 0706.73046
[5] , , A Justification of the Two-Dimensional Linear Plate Model, J. Mécanique 18 (2) (1979) 315-344. | MR 533827 | Zbl 0415.73072
[6] , , Homogenization of Reticulated Structures, Applied Mathematical Sciences, vol. 139, Springer-Verlag, New York, 1999. | MR 1676922 | Zbl 0929.35002
[7] , , , Regularity of Minimizing Maps With Values in and Some Numerical Simulations, Adv. Math. Sci. Appl. 10 (2) (2000) 711-733. | MR 1807449 | Zbl 0979.49029
[8] , , Homogenization Limits of the Equations of Elasticity in Thin Domains, SIAM J. Math. Anal. 18 (2) (1987) 435-451. | MR 876283 | Zbl 0614.73012
[9] , , Su Un Tipo Di Convergenza Variazionale, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 58 (8) (6) (1975) 842-850. | MR 448194 | Zbl 0339.49005
[10] , , , , Coupled and Uncoupled Limits for a N-Dimensional Multidomain Neumann Problem, C. R. Acad. Sci. Paris Sér. I Math. 330 (2000) 985-990. | MR 1779691 | Zbl 0955.35028
[11] , , , , Asymptotic Analysis of a Class of Minimization Problems in a Thin Multidomain, Calc. Var. Partial Differential Equations 15 (2) (2002) 181-201. | MR 1930246 | Zbl 1003.49013
[12] , , , , Asymptotic Analysis for Monotone Quasilinear Problems in Thin Multidomains, Differential Integral Equations 15 (5) (2002) 623-640. | MR 1895899 | Zbl 1034.35020
[13] , , , , , On the Junction of Elastic Plates and Beams, C. R. Acad. Sci. Paris Sér. I Math. 335 (8) (2002) 717-722. | MR 1941655 | Zbl 1032.74037
[14] , , , , , Junction of Elastic Plates and Beams, ESAIM Control Optim. Calc. Var. 13 (3) (2007) 419-457. | Numdam | MR 2329170 | Zbl 1133.35322
[15] , , Asymptotic Analysis of the Eigenvalues of a Laplacian Problem in a Thin Multidomain, Indiana Univ. Math. J. 56 (4) (2007) 1675-1710. | MR 2354696 | Zbl pre05203544
[16] , , Junction in a Thin Multidomain for a Fourth Order Problem, 16 (12) (2006) 1887-1918. | MR 2287334 | Zbl 1109.74032
[17] , , The Landau-Lifshitz Equation of the Ferromagnetic Spin Chain and Harmonic Maps, Calc. Var. Partial Differential Equations 1 (3) (1993) 311-334. | MR 1261548 | Zbl 0798.35139
[18] , , Regularity of and Some Gap Phenomenon, Potential Anal. 1 (1992) 385-400. | MR 1245894 | Zbl 0794.35036
[19] , The Landau-Lifshitz Equation With the External Field - a New Extension Or Harmonic Maps With Values in , Math. Z. 220 (2) (1995) 171-188. | MR 1355024 | Zbl 0843.35028
[20] , Modélisation De La Jonction Entre Une Plaque Et Une Poutre En Élasticité Linéarisée, RAIRO Modél. Math. Anal. Numér. 27 (1) (1993) 77-105. | Numdam | MR 1204630 | Zbl 0767.73034
[21] , , , Asymptotic Analysis of Fields in a Multi-Structure, Oxford Mathematical Monographs. Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1999. | MR 1860617 | Zbl 0951.35004
[22] , , On the Theory of the Dispersion of Magnetic Permeability in Ferromagnetic Bodies, Phys. Z. Sowjetunion 8 (1935) 153, Reproduced, in: Collected Papers of L.D. Landau, Pergamon Press, New York, 1965, pp. 101-114. | Zbl 0012.28501
[23] , Problèmes Variationnels Dans Le Multi-Domaines: Modélisation Des Jonctions Et Applications, Research in Applied Mathematics, vol. 19, Masson, Paris, 1991. | Zbl 0744.73027
[24] , Primer of Modern Analysis, Springer-Verlag, New York, 1983. | MR 710655 | Zbl 0517.26001
[25] , Introduction to Phase Transitions and Critical Phenomena, Oxford University Press, New York and Oxford, 1971.
[26] , Une Estimation Asymptotique Pour Le Modèle De Ginzburg-Landau, C. R. Acad. Sci. Paris Sér. I Math. 317 (7) (1993) 677-680. | MR 1245097 | Zbl 0789.49005
[27] , , Mathematical Modelling of Rods, Handbook of Numerical Analysis, vol. 4, North-Holland, Amsterdam, 1996. | MR 1422507 | Zbl 0873.73041