List questions from harmonic-functions

78

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Is a harmonic function with vanishing norm derivative on the boundary of its domain a constant function?

Published on 28 Mar 2026 - 6:08

52

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Harmonic function on bounded connected space is equal to zero

Published on 11 Jan 2018 - 18:20

639

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How to prove the asymptotic behavior of the fundamental solutions to the 2D and 3D Laplace's equations?

Published on 02 Sep 2011 - 14:13

521

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Is it trivial that I will always find a solution to Laplace's equation via finite-difference method

Published on 17 Oct 2011 - 20:58

363

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Laplace's equation

Published on 16 Nov 2011 - 15:49

2.9k

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Green's function

Published on 21 Dec 2011 - 16:53

4.2k

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Why are harmonic functions called harmonic functions?

Published on 23 Mar 2012 - 14:45

1k

Views

Limit involving the laplacian

Published on 01 Apr 2012 - 20:41

1.7k

Views

If $u$ is harmonic, is it necessarily convex?

Published on 23 Apr 2012 - 15:32

13.3k

Views

Composition of a harmonic function with a holomorphic function is still harmonic

Published on 30 May 2012 - 23:22

425

Views

harmonic function question

Published on 02 Jun 2012 - 21:58

700

Views

Bounded, non-constant harmonic functions: how far are they from existing?

Published on 05 Jun 2012 - 23:18

1.5k

Views

Superharmonic function and supermartingale

Published on 11 Jun 2012 - 22:19

668

Views

Two question on harmonic function

Published on 14 Jun 2012 - 5:26

2.1k

Views

Maximum principle for harmonic functions in unbounded domains

Published on 23 Jun 2012 - 21:59

List Question

Is a harmonic function with vanishing norm derivative on the boundary of its domain a constant function?

Harmonic function on bounded connected space is equal to zero

How to prove the asymptotic behavior of the fundamental solutions to the 2D and 3D Laplace's equations?

Is it trivial that I will always find a solution to Laplace's equation via finite-difference method

Laplace's equation

Green's function

Why are harmonic functions called harmonic functions?

Limit involving the laplacian

If $u$ is harmonic, is it necessarily convex?

Composition of a harmonic function with a holomorphic function is still harmonic

harmonic function question

Bounded, non-constant harmonic functions: how far are they from existing?

Superharmonic function and supermartingale

Two question on harmonic function

Maximum principle for harmonic functions in unbounded domains

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