List questions from harmonic-functions

Published on 28 Jan 2021 - 16:46

138

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Harmonic functions $u$ and $v$ such that $\nabla u = a \nabla v$ for some function $a$.

Published on 30 Jan 2021 - 18:11

93

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Problem on real-valued harmonic function.

Published on 31 Jan 2021 - 18:33

98

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Directed bipartite graphs with weighted edges with uniform input weight

Published on 30 Mar 2026 - 16:24

282

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Integral over fundamental solution in Green's formula

Published on 28 Mar 2026 - 22:30

51

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General form for differentiable function satisfying mean-value property?

Published on 09 Feb 2021 - 10:48

46

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Can the harmonic function $u$ in $U$ be extended continuously to $\overline{U}$?

Published on 14 Feb 2021 - 11:27

46

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Laplace equation on the 3-sphere

Published on 16 Feb 2021 - 23:12

126

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Dirichlet energy given Dirichlet boundary condition

Published on 19 Feb 2021 - 11:37

115

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$ \lim_{x\rightarrow0}\left\vert x\right\vert ^{n-2}u\left( x\right) =0. $ Show that $u\equiv0$ in $B_{1}\left( 0\right) $.

Published on 01 Apr 2026 - 17:51

207

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Holomorphic function with given boundary values

Published on 24 Feb 2021 - 7:02

116

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Supremum of a subharmonic function

Published on 01 Apr 2026 - 17:44

124

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Regularity conditions for curves in Riemann surfaces

Published on 03 Apr 2026 - 19:36

55

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harmonic function in a 2d disc.

Published on 04 Mar 2021 - 9:14

56

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Two harmonic functions with positive ratio are multiple of each-other?

Published on 06 Mar 2021 - 13:09

List Question

Unique continuation at the boundary for harmonic functions in the plane

Harmonic functions $u$ and $v$ such that $\nabla u = a \nabla v$ for some function $a$.

Problem on real-valued harmonic function.

Directed bipartite graphs with weighted edges with uniform input weight

Integral over fundamental solution in Green's formula

General form for differentiable function satisfying mean-value property?

Can the harmonic function $u$ in $U$ be extended continuously to $\overline{U}$?

Laplace equation on the 3-sphere

Dirichlet energy given Dirichlet boundary condition

$ \lim_{x\rightarrow0}\left\vert x\right\vert ^{n-2}u\left( x\right) =0. $ Show that $u\equiv0$ in $B_{1}\left( 0\right) $.

Holomorphic function with given boundary values

Supremum of a subharmonic function

Regularity conditions for curves in Riemann surfaces

harmonic function in a 2d disc.

Two harmonic functions with positive ratio are multiple of each-other?

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