Author(s): Masanori Kishi (ed.)
Publisher: de Gruyter
Year: 1992
Language: English
Pages: 414
Cover......Page 1
Title page......Page 2
Preface......Page 4
Organizing Committee and Consultative Committee......Page 5
David R. ADAMS: L^p potential theory techniques and nonlinear PDE......Page 12
Jürgen BLIEDTNER: Applications of Choquet theory to potential theory......Page 28
Claude DELLACHERIE: Une version non linéaire du théorème de Hunt......Page 36
Walter K. HAYMAN: Strict isoperimetric inequalities and asymmetry......Page 44
Lars Inge HEDBERG: Nonlinear potential theory......Page 54
Olli MARTIO: Potential theory and quasiconforrnal mappings......Page 66
Gabriel MOKOBODZKI: Maximal inequalities and potential theory......Page 76
Ivan NETUKA: The boundary behaviour of solutions of the Dirichlet problem......Page 86
Anthony G. O'FARRELL: Capacities in function theory......Page 104
Michael ROCKNER: Potential theory on non-locally compact spa ce via Dirichlet forms......Page 118
John C. TAYLOR: The Martin compactification of a symmetric space of non-compact type at the bottom of the positive spectrum : An introduction......Page 138
Jang-Mei WU: Level sets and the Green function......Page 152
Marco BIROLI: Local properties of solutions to equations involving square Hörmander's operators......Page 158
Andrej V. BITSADZE: On the generalized Neumann problem......Page 166
Abderrahman BOUKRICHA: Principe de Picard pour les mesures invariantes par rotation et applications......Page 172
Vladimir Va. EIDERMAN: Measure and capacity of exceptional sets arising in estimations of delta-subharmonic functions......Page 182
Sirkka-Liisa A. ERIKSSON-BIQUE: Balayage spaces, standard H-cones and hyperharmonic cones......Page 190
Jerzy A. GAWINECKI: On the thermoelastic potential in three-dimensional hyperbolic thermoelasticity theory......Page 204
Nikolai V. GRACHEV: Representations and estimates for inverse operators of the potential theory integral equations in a polyhedron......Page 212
Ashot HAKOBYAN: Use of single layer potential in mixed problems of elasticity......Page 218
Vadim A. KAIMANOVICH: Discretization of bounded harmonic functions on Riemannian manifolds and entropy......Page 224
Victor I. KRUGLIKOV: Capacities and mappings quasiconformal in the mean......Page 236
Takahide KUROKAWA: Beppo Levi spaces and Riesz potential spaces......Page 240
Yoshihiro MIZUTA: Boundary limits of harmonic functions in Sobolev-Or'licz classes......Page 246
Minoru MURATA: Positive harmonic functions on rotationary symmetric Riemannian manifolds......Page 262
Massimo PICARDELLO and Wolfgang WOESS: Examples of stable Martin boundaries of Markov chains......Page 272
Sundararaja RAMASWAMY: Comparison of liminf and fine liminf of positive superharmonic functions......Page 282
Valeri S. SEROV: Some problems of the potential theory for Schrödinger operator with singular potential......Page 286
Yuri V. SHESTOPALOV: Potential theory for Helmholtz operator and nonlinear eigenvalue problems......Page 292
Keiichi SHIBATA: On stationary points of the energy integral......Page 302
Abdullah SHIDFAR and M. A. HOSSEINI: Application of potential theory in biharmonic analysis......Page 310
Wayne SMITH and David A. STEGENGA: Sobolev imbeddings and integrability of harmonic functions on Hölder domains......Page 314
Noriaki SUZUKI: An estimate of harmonic measure with an application to subharmonic functions......Page 326
Hiroshi TANAKA: Kuramochi boundaries of Riemannian manifolds......Page 332
Frans van GOOL: On axiomatic non-linear potential theory......Page 342
Hisako WATANABE: The Neumann problem and Hausdorff measures......Page 356
WU Jiang Qi and GAO Qi-Ren: On potential extension and capacity on harrnonic spaces......Page 372
Stepan S. ZARGARYAN: Singularities of the solution of integral equations of potential theory arising in problems of elasticity for non-homogeneous media......Page 378
List of participants......Page 394
List of non-partici pating contributors......Page 407
List of lectures......Page 408
