Approximation by harmonic functions, and stability of the Dirichlet problem

zbMath0781.31001MaRDI QIDQ686406

Lars Inge Hedberg

Publication date: 20 October 1993

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

stabilityDirichlet problembalayagecapacityharmonic approximationthinness

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

Related Items (11)

Periodic-parabolic eigenvalue problems with a large parameter and degeneration ⋮ Local and global uniform convergence for elliptic problems on varying domains ⋮ Regular and stable points in Dirichlet problem ⋮ Boundary values in spaces spanned by rational functions and the index of invariant subspaces ⋮ Domain perturbations and estimates for the solutions of second order elliptic equations. ⋮ Three Problems in Function Theory ⋮ Extension and approximation ofm-subharmonic functions ⋮ Eigenvalue Problems for a Cooperative System with a Large Parameter ⋮ Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems. ⋮ Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space ⋮ Dirichlet problems on varying domains.

This page was built for publication: Approximation by harmonic functions, and stability of the Dirichlet problem