Homogenization of periodic multi-dimensional structures
Nadia Ansini; Andrea Braides; Valeria Chiadò Piat
Bollettino dell'Unione Matematica Italiana (1999)
- Volume: 2-B, Issue: 3, page 735-758
- ISSN: 0392-4041
Access Full Article
topAbstract
topHow to cite
topAnsini, Nadia, Braides, Andrea, and Chiadò Piat, Valeria. "Homogenization of periodic multi-dimensional structures." Bollettino dell'Unione Matematica Italiana 2-B.3 (1999): 735-758. <http://eudml.org/doc/195174>.
@article{Ansini1999,
author = {Ansini, Nadia, Braides, Andrea, Chiadò Piat, Valeria},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {homogenization; multi-dimensional structures; periodic measures; integral functionals},
language = {eng},
month = {10},
number = {3},
pages = {735-758},
publisher = {Unione Matematica Italiana},
title = {Homogenization of periodic multi-dimensional structures},
url = {http://eudml.org/doc/195174},
volume = {2-B},
year = {1999},
}
TY - JOUR
AU - Ansini, Nadia
AU - Braides, Andrea
AU - Chiadò Piat, Valeria
TI - Homogenization of periodic multi-dimensional structures
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/10//
PB - Unione Matematica Italiana
VL - 2-B
IS - 3
SP - 735
EP - 758
LA - eng
KW - homogenization; multi-dimensional structures; periodic measures; integral functionals
UR - http://eudml.org/doc/195174
ER -
References
top- ADAMS, R. A., Sobolev Spaces, Academic Press, New York (1975). Zbl0314.46030MR450957
- AMBROSIO, L.- BUTTAZZO, G.- FONSECA, I., Lower semicontinuity problems in Sobolev spaces with respect to a measure, J. Math. Pures Appl., 75 (1996), 211-224. Zbl0844.49012MR1387520
- BOUCHITTÉ, G.- BUTTAZZO, G.- SEPPECHER, P., Energies with respect to a measure and applications to low dimensional structures, Calc. Var., 5 (1997), 37-54. Zbl0934.49011MR1424348
- BRAIDES, A., Homogenization of some almost periodic functional, Rend. Accad. Naz. Sci. XL, 103 (1985), 313-322. Zbl0582.49014MR899255
- BRAIDES, A.- CHIADÒ PIAT, V., Remarks on the homogenization of connected media, Nonlinear Anal., 22 (1994), 391-407. Zbl0802.35006MR1266368
- BRAIDES, A.- GARRONI, A., Homogenization of nonlinear media with soft and stiff inclusions, Math. Mod. Meth. Appl. Sci., 5 (1995), 543-564. Zbl0836.73003MR1335833
- BUTTAZZO, G., Semicontinuity, Relaxation and Integral Representation in the Calculus of Variations, Longman, Harlow (1989). Zbl0669.49005MR1020296
- DAVINI, C., Note on a parameter lumping in the vibrations of an elastic beam, Rend. Ist. Mat. Univ. Trieste, 28 (1996), 83-99. Zbl0881.73069MR1463911
- DAL MASO, G., An Introduction to -Convergence, Birkhäuser, Boston (1993). Zbl0816.49001MR1201152
- DE GIORGI, E.- FRANZONI, T., Su un tipo di convergenza variazionale, Atti Accad. Naz. Lincei Rend. Cl. Sci. Mat., 58 (1975), 842-850. Zbl0339.49005MR448194
- EVANS, L. C.- GARIEPY, R. F., Measure Theory and Fine Properties of Functions, CRC Press, Ann Harbor (1992). Zbl0804.28001MR1158660
- FEDERER, H., Geometric Measure Theory, Springer Verlag, Berlin (1969). Zbl0176.00801MR257325
- KOZLOV, S. M., Averaging of Difference Schemes, Math. USSR Sbornik, 57 (1987), 351-369. Zbl0639.65052
- MARCELLINI, P., Periodic solutions and homogenization of nonlinear variational problems, Ann. Mat. Pura Appl., 117 (1978), 481-498. Zbl0395.49007MR515958
- MÜLLER, S., Homogenization of nonconvex integral functionals and cellular elastic materials, Arch. Rational Mech. Anal., 99 (1987), 189-212. Zbl0629.73009MR888450
- PANKOV, A. A., -Convergence and Homogenization of Nonlinear Partial Differential Operators, Kluwer Academic Publishers, Dordrecht (1997). Zbl0883.35001MR1482803
- ZIEMER, W. P., Weakly Differentiable Functions, Springer-Verlag, Berlin (1989). Zbl0692.46022MR1014685
- ZHIKOV, V. V., Lavrentiev phenomenon and homogenization for some variational problems, in Composite Media and Homogenization Theory, World Scientific, Singapore (1995), 273-288. Zbl0783.35005
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.