Choquet integrals in potential theory.

David R. Adams

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Traces of potentials arising from translation invariant operators

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Some properties of positive superharmonic functions

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The Wiener test for degenerate elliptic equations

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We consider degenerated elliptic equations of the form $\sum_{i, j} D_{x_{i}} (a_{i j} (x) D_{x_{j}}), where λ w (x) | ξ |^{2} \leq \sum_{i, j} a_{i j} (x) ξ_{i} ξ_{j} \leq Λ w (x) | ξ |^{2} .$ Under suitable assumptions on $w$ , we obtain a characterization of Wiener type (involving weighted capacities) for the set of regular points for these operators. The set of regular points is shown to depend only on $w$ . The main tool we use is an estimate for the Green function in terms of $w$ .

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A trace inequality for generalized potentials

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Degenerate elliptic equations with measure data and nonlinear potentials

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