## Potential Theory, Surveys and Problems: Proceedings of a Conference held in Prague, July 19-24, 1987Josef Kral, Jaroslav Lukes, Ivan Netuka, Jiri Vesely The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume. |

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### Contents

SURVEYS | 1 |

Order and convexity in potential theory | 24 |

Probability methods in potential theory | 42 |

Copyright | |

16 other sections not shown

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adjoint analysis axiom balayage space Bliedtner Boboc Borel boundary point boundary value problems bounded Brelot classical coefficients constant continuous convergence convex cone Cornea defined definition denote Department of Mathematics differential equations Dirichlet problem domain elliptic equations equivalent exists finely holomorphic functions finely hyperharmonic finely open set finite Fuglede function f given Green function H-cone of functions Hansen harmonic functions harmonic measures harmonic space Harnack inequality holds holomorphic functions integral equation iteration kernel layer potential Lecture Notes Lemma Lipschitz Lipschitz domain lower semicontinuous Math methods neighbourhood Netuka Notes in Mathematics open set open subset polar positive potential theory potentiel Praha Proceedings proof Proposition proved regularity relatively compact representation resp result Riesz Riesz potentials satisfies semigroup semipolar sequence smooth solution solvability Springer Springer-Verlag standard H-cone submarkovian superharmonic functions Suppose Theorem topology unique