Title | Potential Theory Surveys and Problems [electronic resource] : Proceedings of a Conference held in Prague, July 19-24, 1987 / edited by Josef Krรกl, Jaroslav Lukeลก, Ivan Netuka, Jiลรญ Veselรฝ |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1988 |
Connect to | http://dx.doi.org/10.1007/BFb0103340 |
Descript | X, 278 p. online resource |
Positive harmonic functions and hyperbolicity -- Order and convexity in potential theory -- Probability methods in potential theory -- Layer potential methods for boundary value problems on lipschitz domains -- Fine potential theory -- Balayage spaces โ A natural setting for potential theory -- Axiomatic non-linear potential theories -- Application of the potential theory to the study of qualitative properties of solutions of the elliptic and parabolic equations -- Weighted extremal length and beppo levi functions -- An introduction to iterative techniques for potential problems -- Potential theory methods for higher order elliptic equations -- Problems on distortion under conformal mappings -- On the riesz representation of finely superharmonic functions -- Nonlinear elliptic measures -- Problems on a relation between measures and corresponding potentials -- Open problems connected with level sets of harmonic functions -- On the extremal boundary of convex compact measures which represent a non-regular point in choquet simplex -- The problem of construction of the harmonic space based on choquet simplex -- The problem on quasi-interior in choquet simplexes -- Boundary regularity and potential-theoretic operators -- Contractivity of the operator of the arithmetical mean -- Fine maxima -- Repeated singular integrals -- Cofine potential theory -- Essential and principal balayages -- Local connectedness of the fine topology -- On the lusin-menchoff property -- Relations between parabolic capacities -- Isovolumetric inequalities for the least harmonic majorant of