Displaying similar documents to “Logarithmic capacity is not subadditive – a fine topology approach”

Fine topology and quasilinear elliptic equations

Juha Heinonen, Terro Kilpeläinen, Olli Martio (1989)

Annales de l'institut Fourier

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It is shown that the ( 1 , p ) -fine topology defined via a Wiener criterion is the coarsest topology making all supersolutions to the p -Laplace equation div ( | ∇ u | p - 2 ∇ u ) = 0 continuous. Fine limits of quasiregular and BLD mappings are also studied.

Plurifine potential theory

Jan Wiegerinck (2012)

Annales Polonici Mathematici

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We give an overview of the recent developments in plurifine pluripotential theory, i.e. the theory of plurifinely plurisubharmonic functions.

Choquet integrals in potential theory.

David R. Adams (1998)

Publicacions Matemàtiques

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This is a survey of various applications of the notion of the Choquet integral to questions in Potential Theory, i.e. the integral of a function with respect to a non-additive set function on subsets of Euclidean n-space, capacity. The Choquet integral is, in a sense, a nonlinear extension of the standard Lebesgue integral with respect to the linear set function, measure. Applications include an integration principle for potentials, inequalities for maximal functions, stability for solutions...