一类隐式偏微分方程的边值问题

The dirichlet problem of implicit partial differential equations

给出了一类具有线性约束的边值问题F(Du(x))=0, a.e. x∈Ω;L(D(x))=l, a.e. x∈Ω;u=, x∈ Ω的W1,∞(Ω,Rn)解的存在性的充分条件.

: This paper gives the existence of Lipschitz solutions to implicit partial differential equations with a linear constraint . We use the Baire category method to get the result .