Choquet integrals in potential theory.

David R. Adams

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Traces of potentials arising from translation invariant operators

D. R. Adams (1971)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Some properties of positive superharmonic functions

Rein L. Zeinstra (1989)

Compositio Mathematica

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The Wiener test for degenerate elliptic equations

E. B. Fabes, D. S. Jerison, C. E. Kenig (1982)

Annales de l'institut Fourier

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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 $w$ .

Nonlinear potential theory and Sobolev spaces

Hedberg, Lars Inge

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A trace inequality for generalized potentials

David Adams (1973)

Studia Mathematica

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