List questions from harmonic-functions

Published on 15 Aug 2017 - 6:16

141

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Please can someone help prove LHS=RHS so 0=0

Published on 16 Aug 2017 - 1:08

359

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How to solve this question on harmonic functions?

Published on 16 Aug 2017 - 18:03

2.3k

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Dirichlet problem for upper half plane

Published on 17 Aug 2017 - 0:56

1.4k

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Squared gradient of a harmonic function is subharmonic

Published on 01 Apr 2026 - 3:39

98

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Are continuous weakly $p$-harmonic maps smooth?

Published on 29 Mar 2026 - 14:27

65

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Solution of a Laplace equation

Published on 23 Aug 2017 - 15:57

675

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L2 Trace of Harmonic Functions

Published on 23 Aug 2017 - 21:18

241

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Perron solution on punctured domain equals Perron solution on the whole domain?

Published on 29 Mar 2026 - 14:20

340

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Closed level sets of a harmonic function

Published on 31 Aug 2017 - 17:13

1k

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When does $h(x^2+y^2)$ be harmonic?

Published on 09 Sep 2017 - 13:27

303

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What is the partial derivative of the composition of two complex functions?

Published on 14 Sep 2017 - 16:06

1.7k

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Let $U: \mathbb C \to \mathbb R$ be a harmonic function such that $U(z)\ge 0 \ \forall z\in \mathbb C$ ; then $U$ is constant.

Published on 16 Sep 2017 - 15:23

456

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Mean value integral of a harmonic function in the exterior of a ball

Published on 17 Sep 2017 - 10:10

331

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Solving the radial part of Poisson's equation via power series method

Published on 27 Mar 2026 - 6:56

List Question

Mean value property of harmonic functions on manifolds

Please can someone help prove LHS=RHS so 0=0

How to solve this question on harmonic functions?

Dirichlet problem for upper half plane

Squared gradient of a harmonic function is subharmonic

Are continuous weakly $p$-harmonic maps smooth?

Solution of a Laplace equation

L2 Trace of Harmonic Functions

Perron solution on punctured domain equals Perron solution on the whole domain?

Closed level sets of a harmonic function

When does $h(x^2+y^2)$ be harmonic?

What is the partial derivative of the composition of two complex functions?

Let $U: \mathbb C \to \mathbb R$ be a harmonic function such that $U(z)\ge 0 \ \forall z\in \mathbb C$ ; then $U$ is constant.

Mean value integral of a harmonic function in the exterior of a ball

Solving the radial part of Poisson's equation via power series method

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