Potential Theory :Proceedings of the International Conference on Potential Theory, Nagoya (Japan), August 30-September 4, 1990 ( De Gruyter Proceedings in Mathematics )

Publication subTitle :Proceedings of the International Conference on Potential Theory, Nagoya (Japan), August 30-September 4, 1990

Publication series :De Gruyter Proceedings in Mathematics

Author: Masanori Kishi  

Publisher: De Gruyter‎

Publication year: 1992

E-ISBN: 9783110859065

P-ISBN(Paperback): 9783110128123

Subject:

Language: ENG

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Chapter

Preface

pp.:  1 – 5

Invited Lectures

pp.:  6 – 13

Nonlinear potential theory

pp.:  45 – 55

Potential theory and quasiconformal mappings

pp.:  55 – 67

Maximal inequalities and potential theory

pp.:  67 – 77

The boundary behaviour of solutions of the Dirichlet problem

pp.:  77 – 87

Capacities in function theory

pp.:  87 – 105

Potential theory on non-locally compact space via Dirichlet forms

pp.:  105 – 119

The Martin compactification of a symmetric space of non-compact type at the bottom of the positive spectrum : An introduction

pp.:  119 – 139

Level sets and the Green function

pp.:  139 – 153

Contributed Papers

pp.:  153 – 159

On the generalized Neumann problem

pp.:  159 – 167

Local properties of solutions to equations involving square Hörmander’s operators

pp.:  159 – 159

Principe de Picard pour les mesures invariantes par rotation et applications

pp.:  167 – 173

Measure and capacity of exceptional sets arising in estimations of δ-subharmonic functions

pp.:  173 – 183

Balayage spaces, standard H-cones and hyperharmonic cones

pp.:  183 – 191

On the thermoelastic potential in three-dimensional hyperbolic thermoelasticity theory

pp.:  191 – 205

Representations and estimates for inverse operators of the potential theory integral equations in a polyhedron

pp.:  205 – 213

Use of single layer potential in mixed problems of elasticity

pp.:  213 – 219

Discretization of bounded harmonic functions on Riemannian manifolds and entropy

pp.:  219 – 225

Capacities and mappings quasiconformal in the mean

pp.:  225 – 237

Beppo Levi spaces and Riesz potential spaces

pp.:  237 – 241

Boundary limits of harmonic functions in Sobolev-Orlicz classes

pp.:  241 – 247

Positive harmonic functions on rotationary symmetric Riemannian manifolds

pp.:  247 – 263

Examples of stable Martin boundaries of Markov chains

pp.:  263 – 273

Comparison of liminf and fine liminf of positive superharmonic functions

pp.:  273 – 283

Some problems of the potential theory for Schrödinger operator with singular potential

pp.:  283 – 287

Potential theory for Helmholtz operator and nonlinear eigenvalue problems

pp.:  287 – 293

On stationary points of the energy integral

pp.:  293 – 303

Application of potential theory in biharmonic analysis

pp.:  303 – 311

Sobolev imbeddings and integrability of harmonic functions on Holder domains

pp.:  311 – 315

An estimate of harmonic measure with an application to subharmonic functions

pp.:  315 – 327

Kuramochi boundaries of Riemannian manifolds

pp.:  327 – 333

On axiomatic non-linear potential theory

pp.:  333 – 343

The Neumann problem and Hausdorff measures

pp.:  343 – 357

On potential extension and capacity on harmonic spaces

pp.:  357 – 373

Singularities of the solution of integral equations of potential theory arising in problems of elasticity for non-homogeneous media

pp.:  373 – 379

Appendices

pp.:  379 – 395

List of participants

pp.:  395 – 395

List of non-participating contributors

pp.:  395 – 408

List of lectures

pp.:  408 – 409

LastPages

pp.:  409 – 417

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