Polyharmonic Dirichlet problems

DOI10.1134/S0081543806040031zbMath1351.30033OpenAlexW2095536312MaRDI QIDQ2342255

Heinrich Begehr, Vu Thi Ngoc Ha, Zhong Xiang Zhang

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543806040031

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items (16)

On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation ⋮ Integral Representations Related to Complex Partial Differential Operators ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Mixed type boundary value problems for polymetaharmonic equations ⋮ Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ Schwarz-type lemma at the boundary for mappings satisfying non-homogeneous polyharmonic equations ⋮ Dirichlet problem for inhomogeneous polyharmonic equation ⋮ On a new method for constructing the Green function of the Dirichlet problem for the polyharmonic equation ⋮ Dirichlet Type Problems in Polydomains ⋮ A Dirichlet problem for polyharmonic functions ⋮ Heinrich Begehr: Citation for his 70th birthday ⋮ Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk ⋮ Screen‐type boundary value problems for polymetaharmonic equations ⋮ On the polyharmonic Neumann problem in weighted spaces ⋮ Decompositions of functions and Dirichlet problems in the unit disc ⋮ On Solvability of Some Boundary Value Problems with Involution for the Biharmonic Equation

Cites Work

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• The Schwarz problem for polyanalytic functions
• A hierarchy of integral operators
• Orthogonal decompositions of the function space L2( ;ℂ)
• Iterated Neumann problem for the higher order Poisson equation
• Boundary value problems for the inhomogeneous polyanalytic equation I

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