List questions from harmonic-functions

Published on 17 Mar 2026 - 13:21

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Composition of subharmonic function and covering map is subharmonic

Published on 24 Mar 2026 - 20:31

195

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Prove a continous function is subharmonic on unit disk

Published on 24 Mar 2026 - 20:30

251

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Show that the boundary of simply connected subset is regular

Published on 24 Mar 2026 - 20:32

1.1k

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Using Green's function to solve 2d laplace equation

Published on 23 Mar 2026 - 4:56

63

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Find the function $u_{j}(x,y)$ and $v_{j}(x,y) $ so that $w_{j}(x,y)+iv_{j}(x,y)$ and $u_{j}(x,y)+iw_{j}(x,y)$

Published on 24 Mar 2026 - 20:33

143

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Construct the biholomorphic function from a double connected domain onto an annulus

Published on 24 Mar 2026 - 20:31

351

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Maximum principle for graphs

Published on 16 Mar 2026 - 22:49

948

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Exterior sphere condition for bounded domain

Published on 23 Mar 2026 - 11:21

1.2k

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Connection between Analytic and harmonic

Published on 24 Mar 2026 - 22:06

1.2k

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is there a way to prove the Mean-value formulas using complex analysis?

Published on 17 Mar 2026 - 23:22

49

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Existence of conjugate for $u \in C^2(\mathbb{R}^2)$ harmonic in the plane

Published on 22 Feb 2018 - 6:48

421

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Let $K$ be compact with $K \subset \mathbb D$. Also let $a \in K$ and $u$ be a positive harmonic function on $\mathbb D$.

Published on 23 Feb 2018 - 9:06

218

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derivative of a square-integrable function on the sphere

Published on 23 Mar 2026 - 10:18

204

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Positive harmonic function in the first quadrant

Published on 17 Mar 2026 - 9:22

List Question

Boundary points of a convex domain are regular

Composition of subharmonic function and covering map is subharmonic

Prove a continous function is subharmonic on unit disk

Show that the boundary of simply connected subset is regular

Using Green's function to solve 2d laplace equation

Find the function $u_{j}(x,y)$ and $v_{j}(x,y) $ so that $w_{j}(x,y)+iv_{j}(x,y)$ and $u_{j}(x,y)+iw_{j}(x,y)$

Construct the biholomorphic function from a double connected domain onto an annulus

Maximum principle for graphs

Exterior sphere condition for bounded domain

Connection between Analytic and harmonic

is there a way to prove the Mean-value formulas using complex analysis?

Existence of conjugate for $u \in C^2(\mathbb{R}^2)$ harmonic in the plane

Let $K$ be compact with $K \subset \mathbb D$. Also let $a \in K$ and $u$ be a positive harmonic function on $\mathbb D$.

derivative of a square-integrable function on the sphere

Positive harmonic function in the first quadrant

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