\(\Gamma\)-convergence of integral functionals with degenerate integrands in periodically perforated domains (Q2901736)

The authors establish \(\Gamma\)-convergence of integral functionals with degenerate integrands in perforated domains to some integral functional. This functional is defined on a limit weighted Sobolev space. The corresponding weight function is a function \(\nu\) such that \(\nu>0\) a. e. in \(\Omega\) and \(\nu \in L^1_{loc}(\Omega)\), \(\nu^{-1/(p-1)}\in L^1_{loc}(\Omega)\), where \(\Omega\) is a bounded limited domain in \(\mathbb R^n\).