Integral representations of a class of harmonic functions in the half space-Reference-Cited by-同舟云学术

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Integral representations of a class of harmonic functions in the half space

Published:2016-01 Issue:2 Volume:260 Page:923-936
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Zhang Yan Hui^ORCID,Deng Guan Tie,Qian Tao

Funder

Science Foundation of Ireland

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference16 articles.

1. Harmonic Function Theory;Axler,1992

2. Entire Functions;Boas,1954

3. Functions of One Complex Variable I;Conway,1970

4. Modified Poisson kernel and integral representation of harmonic functions in half-plane;Deng;J. Math. Res. Exposition,2007

5. Integral representation of harmonic functions in half space;Deng;Bull. Sci. Math.,2007

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1. Explicit solutions of the Dirichlet–Schrödinger problem via the new cylindrical Poisson–Schrödinger kernel method;Forum Mathematicum;2023-06-01

2. Harmonic Functions in Slabs and Half-Spaces;Springer Optimization and Its Applications;2020-10-13

3. Explicit Solutions of Cylindrical Schrödinger Equation with Radial Potentials;The Journal of Geometric Analysis;2020-08-17

4. The Phragemén‐Lindelöf principle of harmonic functions and conditions for nevanlinna class in the half space;Mathematical Methods in the Applied Sciences;2019-05-03

5. Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions;Discrete & Continuous Dynamical Systems - A;2019

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