List questions from harmonic-functions

Published on 29 Mar 2026 - 17:31

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Is every harmonic polynomial a linear combination of these?

Published on 23 Feb 2026 - 9:08

50

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Beltrami equation with harmonic coefficient.

Published on 29 Dec 2020 - 13:09

91

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Estimates for partial derivatives of harmonic functions

Published on 01 Apr 2026 - 14:41

440

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mean value theorem of harmonic function

Published on 04 Jan 2021 - 12:24

361

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Show that $H(x) := |x|^{-1} u(x/|x|^2) $ is harmonic if $u$ is harmonic

Published on 06 Jan 2021 - 14:05

91

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minimal graphs converge to a harmonic function

Published on 26 Mar 2026 - 14:17

184

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Reference request on spherical harmonics

Published on 26 Mar 2026 - 20:43

59

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$f:=u_x -iu_y$ holds the Cauchy-Riemann equations

Published on 10 Jan 2021 - 20:50

113

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Prove Liouville theorem without using mean value property

Published on 25 Mar 2026 - 22:23

207

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Elliptic regularity estimate for Possion with bounded forcing term

Published on 28 Mar 2026 - 8:08

31

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If for an harmonic function $u$ in $\mathbb R^n \times \mathbb R_+$, $u(\mathbf{0},y) = 0$ then $u \equiv 0$?

Published on 23 Jan 2021 - 18:13

57

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BMO/BMOA spaces

Published on 29 Mar 2026 - 13:59

157

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Finding bounded harmonic function on upper half-plane with Dirichlet boundary conditions.

Published on 26 Jan 2021 - 16:43

179

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Without calculating the partial derivatives, explain why sin x cosh y and cos x sinh y are harmonic functions in C.

Published on 26 Jan 2021 - 19:46

List Question

Integral solution for Laplace equation in multiply connected domain?

Is every harmonic polynomial a linear combination of these?

Beltrami equation with harmonic coefficient.

Estimates for partial derivatives of harmonic functions

mean value theorem of harmonic function

Show that $H(x) := |x|^{-1} u(x/|x|^2) $ is harmonic if $u$ is harmonic

minimal graphs converge to a harmonic function

Reference request on spherical harmonics

$f:=u_x -iu_y$ holds the Cauchy-Riemann equations

Prove Liouville theorem without using mean value property

Elliptic regularity estimate for Possion with bounded forcing term

If for an harmonic function $u$ in $\mathbb R^n \times \mathbb R_+$, $u(\mathbf{0},y) = 0$ then $u \equiv 0$?

BMO/BMOA spaces

Finding bounded harmonic function on upper half-plane with Dirichlet boundary conditions.

Without calculating the partial derivatives, explain why sin x cosh y and cos x sinh y are harmonic functions in C.

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