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Homogenization of functional with linear growth in the context of $\mathcal{A}$-quasiconvexity
- Publication Year :
- 2014
-
Abstract
- This work deals with the homogenization of functionals with linear growth in the context of $\mathcal{A}$-quasiconvexity. A representation theorem is proved, where the new integrand function is obtained by solving a cell problem where the coupling between homogenization and the $\mathcal{A}$-free condition plays a crucial role. This result extends some previous work to the linear case, thus allowing for concentration effects.<br />Comment: 16 pages
- Subjects :
- Mathematics - Analysis of PDEs
Primary 35B27, Secondary 49J40, 49K20, 35E99
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1410.0490
- Document Type :
- Working Paper