Displaying similar documents to “Levi equation and evolution of subsets of C 2 ”

Levi-equation in higher dimensions

Zbginiew Slodkowski, Giuseppe Tomassini (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We announce some results concerning the Dirichlet problem for the Levi-equation in C n . We consider for the sake of simplicity the case n = 3 .

The mean curvature measure

Quiyi Dai, Neil S. Trudinger, Xu-Jia Wang (2012)

Journal of the European Mathematical Society

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We assign a measure to an upper semicontinuous function which is subharmonic with respect to the mean curvature operator, so that it agrees with the mean curvature of its graph when the function is smooth. We prove that the measure is weakly continuous with respect to almost everywhere convergence. We also establish a sharp Harnack inequality for the minimal surface equation, which is crucial for our proof of the weak continuity. As an application we prove the existence of weak solutions...

Peak points for domains in ℂⁿ

Armen Edigarian (2015)

Annales Polonici Mathematici

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We give a necessary and sufficient condition for the existence of a weak peak function by using Jensen type measures. We also show the existence of a weak peak function for a class of Reinhardt domains.