Displaying similar documents to “Analytic potential theory over the p -adics”

A new setting for potential theory. I

Kai Lai Chung, K. Murali Rao (1980)

Annales de l'institut Fourier

Similarity:

We consider a transient Hunt process in which the potential density u satisfies the conditions: (a) for each x , u ( x , y ) - 1 is finite continuous in y ; (b) u ( x , y ) = + ∞ iff x = y . In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).

Choquet integrals in potential theory.

David R. Adams (1998)

Publicacions Matemàtiques

Similarity:

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...

Remarks on equilibrium potential and energy

Kai Lai Chung (1975)

Annales de l'institut Fourier

Similarity:

This note discusses to problem of the minimization of energy by the equilibrium measure obtained by the method of last exit in reference Ann. Inst. Fourier, 23-3 (1973), 313–322.