【摘要】Thetypeofproblemunderconsiderationis{ut=△↓(a(u)b(x)△↓u)+g(x,q,t)f(u)inD×(0,T),u=0onГ1×(0,T),δu/δn+σ(x,t)u=0onГ2×(0,T),Г1uГ2=δD,u(x,0)=u0(x)≥0,absolutelyunequalto0inD^-,whereDisasmoothboundeddomainofR^N,q=|△↓u|^2.ByconstructinganauxiliaryfunctionandusingHopf'smaximumprinciplesonit,existencetheore
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