S. Monsurrò - E. Zappale
On the relaxation and the homogenization of some classes of variational integrals with mixed boundary conditions
Published Paper
Inserted: 15 feb 2009
Journal: Rev. Roum. Math. Pures Appl.
Volume: 51
Number: 3
Pages: 345-363
Year: 2006
Abstract:
It is proven a $\Gamma $ convergence result and integral representation on $BV$ for a functional of the type $\int_\Omega f\left(\frac{x}{\e}, \nabla u\right)dx $ with linear growth, under mixed boundary conditions on $\partial \Omega$, i.e. Dirichlet boundary conditions on part of $\partial \Omega$, and Neumann ones in the reminder.