The div-curl lemma “ trente ans après ” : an extension and an application to the G-convergence of unbounded monotone operators

In this paper new div-curl results are derived. For any open set Ω of RN , N 2, we study the limit of the product vn · wn where the sequences vn and wn are respectively bounded in Lp(Ω)N and Lq(Ω)N , while divvn and curlwn are compact in some Sobolev spaces, under the condition 1 1 p + 1 q 1 + 1 N . Our approach is based on a suitable decomposition of the… CONTINUE READING