Derivation of the Aronsson Equation for C Hamiltonians
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چکیده
It is proved herein that any absolute minimizer u for a suitable Hamiltonian H ∈ C(R × R× U) is a viscosity solution of the Aronsson equation: Hp(Du, u, x) · (H(Du, u, x))x = 0 in U. The primary advance is to weaken the assumption that H ∈ C, used by previous authors, to the natural condition that H ∈ C.
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تاریخ انتشار 2006