List questions from harmonic-functions

Published on 23 Feb 2026 - 10:29

310

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Smoothness proof for harmonic function

Published on 22 Oct 2019 - 16:49

46

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How to estimate this integral?

Published on 23 Oct 2019 - 14:38

237

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$|f|^{\alpha}$ subharmonic for $\alpha > 0$

Published on 24 Oct 2019 - 10:39

164

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$u$ harmonic and $u^3$ harmonic then $u$ constant

Published on 25 Oct 2019 - 16:35

104

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$\Delta u = 0$ in $B^{+}\cap \{x_{n} > 0\}$ and $u = u_{x_{n}} = 0$ in $\{x_{n} = 0\}$ $\implies $ $u = 0$.

Published on 26 Oct 2019 - 16:53

225

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$e^{jwt}$ is an ortho-normal basis proof

Published on 26 Mar 2026 - 17:43

588

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Monotonicity formula for harmonic functions

Published on 25 Mar 2026 - 17:28

1.1k

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Liouville Theorem for Harmonic Functions

Published on 01 Nov 2019 - 12:06

146

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Can complex analysis be used to solve Laplace's equation in three dimensions?

Published on 02 Nov 2019 - 16:50

150

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Sum of squares of harmonic functions

Published on 25 Mar 2026 - 22:11

205

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Extending harmonic function from half-space to whole space

Published on 25 Mar 2026 - 20:41

726

Views

Laplace's equation in 2 dimensions with mixed Dirichlet and Neumann BCs: Is this the only solution?

Published on 06 Nov 2019 - 14:55

92

Views

A priori error estimate for Dirichlet problem under geometric uncertainty

Published on 08 Nov 2019 - 16:34

308

Views

when does bounded subharmonic function be a constant

Published on 10 Nov 2019 - 9:56

List Question

if $u$ is a harmonic function, then $u$ has a harmonic conjugate.

Smoothness proof for harmonic function

How to estimate this integral?

$|f|^{\alpha}$ subharmonic for $\alpha > 0$

$u$ harmonic and $u^3$ harmonic then $u$ constant

$\Delta u = 0$ in $B^{+}\cap \{x_{n} > 0\}$ and $u = u_{x_{n}} = 0$ in $\{x_{n} = 0\}$ $\implies $ $u = 0$.

$e^{jwt}$ is an ortho-normal basis proof

Monotonicity formula for harmonic functions

Liouville Theorem for Harmonic Functions

Can complex analysis be used to solve Laplace's equation in three dimensions?

Sum of squares of harmonic functions

Extending harmonic function from half-space to whole space

Laplace's equation in 2 dimensions with mixed Dirichlet and Neumann BCs: Is this the only solution?

A priori error estimate for Dirichlet problem under geometric uncertainty

when does bounded subharmonic function be a constant

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