ON THE LOCAL HÖLDER CONTINUITY OF THE INVERSE OF THE p-LAPLACE OPERATOR
نویسنده
چکیده
We prove an interpolation type inequalitie between C , L∞ and L spaces and use it to establish the local Hölder continuity of the inverse of the p-Laplace operator: ‖(−∆p)(f)−(−∆p)(g)‖C1(Ω̄) ≤ C‖f−g‖ r L(Ω) , for any f and g in a bounded set in L(Ω).
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تاریخ انتشار 2005