Keywords:
Electronic books.
Description / Table of Contents:
No detailed description available for "Potential Theory".
Type of Medium:
Online Resource
Pages:
1 online resource (416 pages)
Edition:
1st ed.
ISBN:
9783110859065
Series Statement:
De Gruyter Proceedings in Mathematics Series
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=935114
Language:
English
Note:
Intro -- 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.
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