Question

Prove that partial derivative of the harmonic function is greater than zero if the function takes the maximum at a specific point in the boundary

score 95 · Answer 1 · 2017-01-29 22:45:01

Prove that partial derivative of the harmonic function is greater than zero if the function takes the maximum at a specific point in the boundary

score 1.2k · Answer 2 · 2017-01-31 04:50:19

1.2k

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Integral of normal derivative around circle equals zero implies harmonic

Published on 31 Jan 2017 - 4:50

score 2.2k · Answer 3 · 2026-03-27 16:02:33

2.2k

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Harmonic and holomorphic, what's the difference?

Published on 27 Mar 2026 - 16:02

score 5.4k · Answer 4 · 2017-02-03 10:59:40

5.4k

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Why are partial derivatives of a harmonic function also harmonic?

Published on 03 Feb 2017 - 10:59

score 48 · Answer 5 · 2017-02-04 09:48:47

48

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Regarding the possible sizes of families of functions which differentiate in a circle or cycle.

Published on 04 Feb 2017 - 9:48

score 381 · Answer 6 · 2026-03-26 12:40:40

381

Views

Existence of harmonic conjugate in several variables

Published on 26 Mar 2026 - 12:40

score 73 · Answer 7 · 2026-03-26 11:00:08

73

Views

Find $ \max \Im( W(- exp(x)) exp(-x) ) $ for real $x$.

Published on 26 Mar 2026 - 11:00

score 1.1k · Answer 8 · 2017-02-07 20:21:20

1.1k

Views

Dirichlet problem and Brownian motion

Published on 07 Feb 2017 - 20:21

score 99 · Answer 9 · 2017-02-08 15:32:58

99

Views

tangent plane to graph of a harmonic function

Published on 08 Feb 2017 - 15:32

score 480 · Answer 10 · 2017-02-08 23:57:06

480

Views

Logarithm of absolute value of a harmonic function subharmonic?

Published on 08 Feb 2017 - 23:57

score 162 · Answer 11 · 2026-03-26 10:58:30

162

Views

How to prove this Lambert W integral representation?

Published on 26 Mar 2026 - 10:58

score 378 · Answer 12 · 2026-03-25 13:51:39

378

Views

How to prove this is an harmonic function?

Published on 25 Mar 2026 - 13:51

score 207 · Answer 13 · 2017-02-11 02:59:17

207

Views

A liouville type theorem for harmonic functions in the plane

Published on 11 Feb 2017 - 2:59

score 285 · Answer 14 · 2026-03-26 06:27:23

285

Views

Show that a harmonic function is constant by using the maximum principle

Published on 26 Mar 2026 - 6:27

score 239 · Answer 15 · 2017-02-11 13:38:40

239

Views

harmonic function on upper half sphere

Published on 11 Feb 2017 - 13:38

List Question

Prove that partial derivative of the harmonic function is greater than zero if the function takes the maximum at a specific point in the boundary

Integral of normal derivative around circle equals zero implies harmonic

Harmonic and holomorphic, what's the difference?

Why are partial derivatives of a harmonic function also harmonic?

Regarding the possible sizes of families of functions which differentiate in a circle or cycle.

Existence of harmonic conjugate in several variables

Find $ \max \Im( W(- exp(x)) exp(-x) ) $ for real $x$.

Dirichlet problem and Brownian motion

tangent plane to graph of a harmonic function

Logarithm of absolute value of a harmonic function subharmonic?

How to prove this Lambert W integral representation?

How to prove this is an harmonic function?

A liouville type theorem for harmonic functions in the plane

Show that a harmonic function is constant by using the maximum principle

harmonic function on upper half sphere

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