REITERATED HOMOGENIZATION OF DEGENERATE NONLINEAR ELLIPTIC EQUATIONS

(整期优先)网络出版时间:2002-03-13
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Theauthorsstudyhomogenizationofsomenonlinearpartialdifferentialequationsoftheform-p(a(hx,h^2x,Duh))=f,whereaisperiodicinthefirsttwoargumentsandmonotoneinthethird.Inparticularthecasewhereasatisfiesdegeneratedstructureconditionsisstudied.ItisprovedthatuhconvergesweaklyinW0^1,1(Ω)totheuniquesolutionofalimitproblemash→+∞.Moreover,explicitexpressionsforthelimitproblemareobtained.