Nonlinear potential theory and Sobolev spaces
Hedberg, Lars Inge
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Hedberg, Lars Inge
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Josef Král (1984)
Časopis pro pěstování matematiky
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Verbitsky, Igor E.
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Zoran Vondraček (1990)
Séminaire de probabilités de Strasbourg
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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...
Rein L. Zeinstra (1989)
Compositio Mathematica
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