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Homogenization of unbounded singular integrals in W1,∞
- Source :
- Ricerche di matematica, Ricerche di matematica, Springer Verlag, 2012, 61 (2), pp.185-217. ⟨10.1007/s11587-011-0124-y⟩
- Publication Year :
- 2012
- Publisher :
- HAL CCSD, 2012.
-
Abstract
- International audience; We study homogenization by Г-convergence, with respect to the L1-strong convergence, of periodic multiple integrals in W1,∞ when the integrand can take in finite values outside of a convex bounded open set of matrices.
- Subjects :
- Homogenization
Applied Mathematics
General Mathematics
Numerical analysis
Multiple integral
010102 general mathematics
Mathematical analysis
Regular polygon
Open set
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
Singular integral
16. Peace & justice
01 natural sciences
Homogenization (chemistry)
nonconvex singular integrands
010101 applied mathematics
Bounded function
Hyperelastic material
constraints on the gradient
determinant type constraints
0101 mathematics
hyperelasticity
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00355038 and 18273491
- Database :
- OpenAIRE
- Journal :
- Ricerche di matematica, Ricerche di matematica, Springer Verlag, 2012, 61 (2), pp.185-217. ⟨10.1007/s11587-011-0124-y⟩
- Accession number :
- edsair.doi.dedup.....a7df60d78d48af952a9656ab044a44e2
- Full Text :
- https://doi.org/10.1007/s11587-011-0124-y⟩