Braides, Andrea; Briane, Marc; Casado-Díaz, Juan Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. (English) Zbl 1221.35048 Nonlinearity 22, No. 6, 1459-1480 (2009). A homogenization scenario of two-dimensional oscillating convex functionals, where the densities are equicoercive but not uniformly bounded from above, is discussed. Using a couple of technical lemmas and a uniform-convergence result for the minimizers, the authors prove (among other things) that the limit energy is local and recover the validity of the analogue of the well-known periodic homogenization formula. Reviewer: Adrian Muntean (Eindhoven) Cited in 7 Documents MSC: 35B27 Homogenization in context of PDEs; PDEs in media with periodic structure 35J60 Nonlinear elliptic equations 49J45 Methods involving semicontinuity and convergence; relaxation Keywords:homogenization; convex functionals; Gamma convergence PDFBibTeX XMLCite \textit{A. Braides} et al., Nonlinearity 22, No. 6, 1459--1480 (2009; Zbl 1221.35048) Full Text: DOI Link