Cover image for Potential Theory : Proceedings of the International Conference on Potential Theory, Nagoya (Japan), August 30-September 4, 1990.
Potential Theory : Proceedings of the International Conference on Potential Theory, Nagoya (Japan), August 30-September 4, 1990.
Title:
Potential Theory : Proceedings of the International Conference on Potential Theory, Nagoya (Japan), August 30-September 4, 1990.
Author:
Kishi, Masanori.
ISBN:
9783110859065
Personal Author:
Physical Description:
1 online resource (416 pages)
Series:
De Gruyter Proceedings in Mathematics
Contents:
Preface -- Organizing Committee and Consultative Committee -- Invited Lectures -- Lp potential theory techniques and nonlinear PDE -- Applications of Choquet theory to potential theory -- One version non linéaire du théorème de Hunt -- Strict isoperimetric inequalities and asymmetry -- Nonlinear potential theory -- Potential theory and quasiconformal mappings -- Maximal inequalities and potential theory -- The boundary behaviour of solutions of the Dirichlet problem -- Capacities in function theory -- Potential theory on non-locally compact space via Dirichlet forms -- The Martin compactification of a symmetric space of non-compact type at the bottom of the positive spectrum : An introduction -- Level sets and the Green function -- Contributed Papers -- Local properties of solutions to equations involving square Hörmander's operators -- On the generalized Neumann problem -- Principe de Picard pour les mesures invariantes par rotation et applications -- Measure and capacity of exceptional sets arising in estimations of δ-subharmonic functions -- Balayage spaces, standard H-cones and hyperharmonic cones -- On the thermoelastic potential in three-dimensional hyperbolic thermoelasticity theory -- Representations and estimates for inverse operators of the potential theory integral equations in a polyhedron -- Use of single layer potential in mixed problems of elasticity -- Discretization of bounded harmonic functions on Riemannian manifolds and entropy -- Capacities and mappings quasiconformal in the mean -- Beppo Levi spaces and Riesz potential spaces -- Boundary limits of harmonic functions in Sobolev-Orlicz classes -- Positive harmonic functions on rotationary symmetric Riemannian manifolds -- Examples of stable Martin boundaries of Markov chains -- Comparison of liminf and fine liminf of positive superharmonic functions.

Some problems of the potential theory for Schrödinger operator with singular potential -- Potential theory for Helmholtz operator and nonlinear eigenvalue problems -- On stationary points of the energy integral -- Application of potential theory in biharmonic analysis -- Sobolev imbeddings and integrability of harmonic functions on Holder domains -- An estimate of harmonic measure with an application to subharmonic functions -- Kuramochi boundaries of Riemannian manifolds -- On axiomatic non-linear potential theory -- The Neumann problem and Hausdorff measures -- On potential extension and capacity on harmonic spaces -- Singularities of the solution of integral equations of potential theory arising in problems of elasticity for non-homogeneous media -- Appendices -- List of participants -- List of non-participating contributors -- List of lectures.
Abstract:
The 12 invited lectures and 26 contributed papers cover a wide range of potential theory, from classical to nonlinear. Among the topics are the Dirichlet and Neumann problems, Martin compactification, Choquet theory, and the applications to probability theory and other branches of mathematics. No index. Annotation copyright Book News, Inc. Portland, Or.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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