List questions from harmonic-functions

Published on 23 Mar 2026 - 15:10

153

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Show that there is no harmonic function $v$ in $\mathbb{C}^$ such that $u+iv$ is holomorphic in $\mathbb{C}^$

Published on 02 Mar 2018 - 10:24

677

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Find harmonic function on the unit disk

Published on 22 Mar 2026 - 5:34

339

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Find a harmonic function in the region $S$ satisfying boundary conditions

Published on 06 Mar 2018 - 6:30

1.1k

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Harmonic function on annulus $\{a<|z|<b\}$

Published on 22 Mar 2026 - 12:20

86

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Find the conjugate harmonic function

Published on 22 Mar 2026 - 8:07

484

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Solving Laplace Equation with two dielectrics in cylindrical coordinates

Published on 20 Mar 2026 - 12:08

411

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a sequence of polynomials which converges uniformly on compact subsets of domain will converge uniformly on a compact set outside domain

Published on 24 Mar 2026 - 22:08

332

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the existence of solution of Laplace equation

Published on 22 Mar 2026 - 6:53

88

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an exercise in 'Pattern Recognition and Machine Learning'

Published on 17 Mar 2026 - 21:50

1k

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Integration trick $\int^{2\pi}_{0} f(a+ r \cos \theta, b+r\sin \theta)d\theta=2\pi f(a,b)$

Published on 17 Mar 2018 - 12:52

193

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Do there exist energy-minimizing immersions?

Published on 23 Mar 2026 - 3:09

707

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Averaging principle and harmonic functions proof

Published on 22 Mar 2026 - 14:09

120

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Is this condition equivalent to being harmonic?

Published on 22 Mar 2026 - 17:27

256

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Distance to zero set of harmonic function

Published on 22 Mar 2026 - 6:59

List Question

Harmonic functions, equivalence of boundary conditions with phenomena outside domain.

Show that there is no harmonic function $v$ in $\mathbb{C}^$ such that $u+iv$ is holomorphic in $\mathbb{C}^$

Find harmonic function on the unit disk

Find a harmonic function in the region $S$ satisfying boundary conditions

Harmonic function on annulus $\{a<|z|<b\}$

Find the conjugate harmonic function

Solving Laplace Equation with two dielectrics in cylindrical coordinates

a sequence of polynomials which converges uniformly on compact subsets of domain will converge uniformly on a compact set outside domain

the existence of solution of Laplace equation

an exercise in 'Pattern Recognition and Machine Learning'

Integration trick $\int^{2\pi}_{0} f(a+ r \cos \theta, b+r\sin \theta)d\theta=2\pi f(a,b)$

Do there exist energy-minimizing immersions?

Averaging principle and harmonic functions proof

Is this condition equivalent to being harmonic?

Distance to zero set of harmonic function

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