HOMOGENIZATION OF AN ELLIPTIC SECOND-ORDER PROBLEM WITH L log L DATA IN A DOMAIN WITH OSCILLATING BOUNDARY
Antonio Gaudiello, Olivier Guibé · Communications in Contemporary Mathematics · 2013
We consider a domain whose boundary presents numerous asperities. The asperities have fixed height, a size depending on a small parameter ε and a ε-periodic structure. We study the asymptotic behavior, as ε vanishes, of a second-order elliptic Neumann problem in this domain with a data having L log La priori estimates. We identify the limit problem.