A Negative Answer to the Bernstein Problem for Intrinsic Graphs in the Heisenberg Group
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چکیده
A negative answer to the Bernstein problem for entire H-perimeter minimizing intrinsic graphs is given in the setting of the first Heisenberg group H endowed with its Carnot-Carathéodory metric structure. Moreover, in all Heisenberg groups H an area formula for intrinsic graphs with Sobolev regularity is provided, together with the associated first and second variation formulae.
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تاریخ انتشار 2008