Lions's clever idea was to introduce "concentration compactness" techniques which look at energy concentrations and so avoid problems which occur when examining the minimising sequences without compactness.
Lions's matalino ideya ay kitang ipakilala sa "konsentrasyon limit" pamamaraan na hitsura at enerhiya concentrations at upang maiwasan ang mga problema na nangyayari kapag ang pagsusuri ng minimising sequences na walang limit.