Potential theory : proceedings of the International Conference on Potential Theory, Nagoya (Japan) August 30-September 4, 1990 / editor, Masanori Kishi.

Format:

Book

Conference/Event

Contributor:

Kishi, Masanori, 1932-2017.

Conference Name:

International Conference on Potential Theory (1990 : Nagoya-shi, Japan)

International Conference on Potential Theory

Series:

De Gruyter Proceedings in Mathematics

Language:

English

Subjects (All):

Potential theory (Mathematics)--Congresses.

Potential theory (Mathematics).

Mathematical analysis--Congresses.

Mathematical analysis.

Physical Description:

1 online resource (416 p.)

Edition:

Reprint 2011

Place of Publication:

Berlin ; New York : W. de Gruyter, 1991.

Language Note:

English

Summary:

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.

Contents:

Front matter

Invited Lectures

Lp potential theory techniques and nonlinear PDE / ADAMS, David R.

Applications of Choquet theory to potential theory / BLIEDTNER, Jürgen

One version non linéaire du théorème de Hunt / DELLACHERIE, Claude

Strict isoperimetric inequalities and asymmetry / HAYMAN, Walter Κ.

Nonlinear potential theory / HEDBERG, Lars Inge

Potential theory and quasiconformal mappings / MARTIO, Olli

Maximal inequalities and potential theory / MOKOBODZKI, Gabriel

The boundary behaviour of solutions of the Dirichlet problem / NETUKA, Ivan

Capacities in function theory / G. O'FARRELL, Anthony

Potential theory on non-locally compact space via Dirichlet forms / RÖCKNER, Michael

The Martin compactification of a symmetric space of non-compact type at the bottom of the positive spectrum : An introduction / TAYLOR, John C.

Level sets and the Green function / WU, Jang-Mei

Contributed Papers

Local properties of solutions to equations involving square Hörmander's operators / BIROLI, Marco

On the generalized Neumann problem / BITSADZE, Andrej V.

Principe de Picard pour les mesures invariantes par rotation et applications / BOUKRICHA, Abderrahman

Measure and capacity of exceptional sets arising in estimations of δ-subharmonic functions / EIDERMAN, Vladimir Ya.

Balayage spaces, standard Η-cones and hyperharmonic cones / ERIKSSON-BIQUE, Sirkka-Liisa A.

On the thermoelastic potential in three-dimensional hyperbolic thermoelasticity theory / GAWINECKI, Jerzy A.

Representations and estimates for inverse operators of the potential theory integral equations in a polyhedron / GRACHEV, Nikolai V.

Use of single layer potential in mixed problems of elasticity / HAKOBYAN, Ashot

Discretization of bounded harmonic functions on Riemannian manifolds and entropy / KAIMANOVICH, Vadim A.

Capacities and mappings quasiconformal in the mean / KRUGLIKOV, Victor I.

Beppo Levi spaces and Riesz potential spaces / KUROKAWA, Takahide

Boundary limits of harmonic functions in Sobolev-Orlicz classes / MIZUTA, Yoshihiro

Positive harmonic functions on rotationary symmetric Riemannian manifolds / MURATA, Minoru

Examples of stable Martin boundaries of Markov chains / PICARDELLO, Massimo / WOESS, Wolfgang

Comparison of liminf and fine liminf of positive superharmonic functions / RAMASWAMY, Sundararaja

Some problems of the potential theory for Schrödinger operator with singular potential / SEROV, Valeri S.

Potential theory for Helmholtz operator and nonlinear eigenvalue problems / SHESTOPALOV, Yuri V.

On stationary points of the energy integral / SHIBATA, Keiichi

Application of potential theory in biharmonic analysis / SHIDFAR, Abdullah / HOSSEINI, M. A.

Sobolev imbeddings and integrability of harmonic functions on Holder domains / SMITH, Wayne / STEGENGA, David A.

An estimate of harmonic measure with an application to subharmonic functions / SUZUKI, Noriaki

Kuramochi boundaries of Riemannian manifolds / TANAKA, Hiroshi

On axiomatic non-linear potential theory / GOOL, Frans van

The Neumann problem and Hausdorff measures / WATANABE, Hisako

On potential extension and capacity on harmonic spaces / Qi, WU Jiong / Qi-Ren, GAO

Singularities of the solution of integral equations of potential theory arising in problems of elasticity for non-homogeneous media / ZARGARYAN, Stepan S.

Appendices

List of participants

List of non-participating contributors

List of lectures

Back matter

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9783110859065

3110859068

OCLC:

979692697