List questions from harmonic-functions

Published on 11 Mar 2019 - 22:15

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2D partial differential equation with boundary values (Dirichlet problem)

Published on 12 Mar 2019 - 16:35

322

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Laplace Equation with Inhomogeneous Boundary Condition

Published on 24 Mar 2026 - 11:33

431

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Linear harmonic functions

Published on 17 Mar 2019 - 9:39

190

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Rado–Kneser–Choquet Theorem proof

Published on 25 Mar 2026 - 15:41

191

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Laplace Equation in Rectangle: Boundary Value Problem

Published on 13 Mar 2026 - 14:38

1.8k

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Harmonic conjugate and resulting analytic function

Published on 25 Mar 2026 - 9:46

94

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Quotient space of harmonic functions on punctured plane

Published on 25 Mar 2019 - 8:27

140

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In a elliptic coordinate system,is there any existing solution for Laplace equation?

Published on 26 Mar 2019 - 13:20

1k

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If $u(r, \theta)$ is a solution of Laplace’s equation show that $u(\frac{1}{r}, \theta)$ is also a solution.

Published on 25 Mar 2026 - 13:57

631

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Proof of maximal principle on Laplace Equation involving Poisson integral formula

Published on 25 Mar 2026 - 11:06

55

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Harmonic functions - proving a limit

Published on 31 Mar 2019 - 21:14

161

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Properties of functions with $0$ second partial derivatives

Published on 31 Mar 2019 - 21:14

1.9k

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If $u(x,y)$ is not a harmonic function, can a harmonic conjugate $v(x,y)$ be found?

Published on 25 Mar 2026 - 3:19

245

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Harmonic Functions With a Pole at the Origin

Published on 01 Apr 2019 - 18:15

List Question

How upper bound of harmonic sum is proven

2D partial differential equation with boundary values (Dirichlet problem)

Laplace Equation with Inhomogeneous Boundary Condition

Linear harmonic functions

Rado–Kneser–Choquet Theorem proof

Laplace Equation in Rectangle: Boundary Value Problem

Harmonic conjugate and resulting analytic function

Quotient space of harmonic functions on punctured plane

In a elliptic coordinate system,is there any existing solution for Laplace equation?

If $u(r, \theta)$ is a solution of Laplace’s equation show that $u(\frac{1}{r}, \theta)$ is also a solution.

Proof of maximal principle on Laplace Equation involving Poisson integral formula

Harmonic functions - proving a limit

Properties of functions with $0$ second partial derivatives

If $u(x,y)$ is not a harmonic function, can a harmonic conjugate $v(x,y)$ be found?

Harmonic Functions With a Pole at the Origin

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