6 citations · 15 across the 12 of their papers we have counts for
18 papers
On the regularity of solutions of one dimensional variational obstacle problems
Jean-Philippe Mandallena
We study the regularity of solutions of one dimensional variational obstacle problems in when the Lagrangian is locally Hölder continuous and globally elliptic. In the sp…
Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces
Omar Anza Hafsa, Jean-Philippe Mandallena
We study relaxation of nonconvex integrals of the calculus of variations in the setting of Cheeger-Sobolev spaces when the integrand has not polynomial growth and can take infinite…
Γ-convergence of nonconvex integrals in Cheeger-Sobolev spaces and homogenization
Omar Anza Hafsa, Jean-Philippe Mandallena
We study Γ-convergence of nonconvex variational integrals of the calculus of variations in the setting of Cheeger-Sobolev spaces. Applications to relaxation and homogenization are…
-limits of functionals determined by their infima
Omar Anza Hafsa, Jean-Philippe Mandallena
We study the integral representation of -limits of -coercive integral functionals of the calculus of variations in the spirit of \cite{dalmaso-modica86}. We use infima of loc…
Homogenization of unbounded integrals with quasiconvex growth
Omar Anza Hafsa, Jean-Philippe Mandallena, Hamdi Zorgati
We study homogenization by -convergence of periodic nonconvex integrals when the integrand has quasiconvex growth with convex effective domain.
Radial representation of lower semicontinuous envelope
Omar Anza Hafsa, Jean-Philippe Mandallena
We give an extension to a nonconvex setting of the classical radial representation result for lower semicontinuous envelope of a convex function on the boundary of its effective do…