Theauthorsstudyhomogenizationofsomenonlinearpartialdifferentialequationsoftheform-p(a(hx,h^2x,Duh))=f,whereaisperiodicinthefirsttwoargumentsandmonotoneinthethird.Inparticularthecasewhereasatisfiesdegeneratedstructureconditionsisstudied.ItisprovedthatuhconvergesweaklyinW0^1,1(Ω)totheuniquesolutionofalimitproblemash→+∞.Moreover,explicitexpressionsforthelimitproblemareobtained.