Infinite dimension of solutions of the Dirichlet problem

DOI10.1515/math-2015-0034zbMath1353.31004arXiv1402.2130OpenAlexW2963012298MaRDI QIDQ317663

Mohammad Hasan, M. Dambrine

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.2130

zbMATH Keywords

Dirichlet problemharmonic functionsPoisson kernelnontangential limits

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (12)

On the boundary-value problems for quasiconformal functions in the plane ⋮ On the Riemann-Hilbert problem in multiply connected domains ⋮ On Neumann and Poincare problems for Laplace equation ⋮ Hilbert and Poincaré problems for semi-linear equations in rectifiable domains ⋮ On recent advances in boundary-value problems in the plane ⋮ On the Hilbert problem for semi-linear Beltrami equations ⋮ On Hilbert boundary value problem for Beltrami equation ⋮ On Hilbert and Riemann problems for generalized analytic functions and applications ⋮ The Cauchy-Stieltjes integrals in the theory of analytic functions ⋮ On the theory of the boundary behavior of conjugate harmonic functions ⋮ Logarithmic potential and generalized analytic functions ⋮ Stieltjes integrals in the theory of harmonic functions

Cites Work

• The Cantor function
• On the Riemann-Hilbert problem IV
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Infinite dimension of solutions of the Dirichlet problem