List questions from harmonic-functions

Published on 15 Oct 2014 - 1:41

478

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Can the measure of zeroes of a harmonic function be positive?

Published on 16 Oct 2014 - 16:28

528

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Strange thing about Weak Maximum\Minimum Principle?

Published on 18 Oct 2014 - 21:48

195

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Area growth of harmonic functions

Published on 20 Oct 2014 - 5:06

1.1k

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Prove that $\phi(x,y)=e^{u(x,y)}cos(v(x,y))$ is harmonic

Published on 21 Oct 2014 - 1:40

68

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My attempt to prove an inequality get stuck——————where do I go wrong?

Published on 21 Oct 2014 - 16:30

276

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Dirichlet Problem

Published on 24 Oct 2014 - 21:27

172

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Poisson Integral, when $U$ is discontinuous

Published on 29 Oct 2014 - 3:49

215

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There is no holomorphic function in $\Omega=\{0<r<\lvert z\rvert <R\}$ with real part $u(x,y)=\frac{1}{2}\log(x^2+y^2)$

Published on 29 Oct 2014 - 16:15

58

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Existence of a harmonic function?

Published on 25 Mar 2026 - 23:15

164

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Harmonicity of the expectation of a stopped Brownian Motion

Published on 30 Oct 2014 - 12:26

87

Views

Is converse of Lewy theorem true?

Published on 25 Mar 2026 - 20:42

905

Views

Isolated singularity of harmonic function

Published on 02 Nov 2014 - 10:33

1.8k

Views

Harmonic function with Neumann boundary condition in the disk

Published on 03 Nov 2014 - 1:20

1.9k

Views

Spherical harmonic expansion of a sphere

Published on 25 Mar 2026 - 12:37

List Question

Harmonic conjugate extend to boundary

Can the measure of zeroes of a harmonic function be positive?

Strange thing about Weak Maximum\Minimum Principle?

Area growth of harmonic functions

Prove that $\phi(x,y)=e^{u(x,y)}cos(v(x,y))$ is harmonic

My attempt to prove an inequality get stuck——————where do I go wrong?

Dirichlet Problem

Poisson Integral, when $U$ is discontinuous

There is no holomorphic function in $\Omega=\{0<r<\lvert z\rvert <R\}$ with real part $u(x,y)=\frac{1}{2}\log(x^2+y^2)$

Existence of a harmonic function?

Harmonicity of the expectation of a stopped Brownian Motion

Is converse of Lewy theorem true?

Isolated singularity of harmonic function

Harmonic function with Neumann boundary condition in the disk

Spherical harmonic expansion of a sphere

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