List questions from harmonic-functions

Published on 04 Oct 2014 - 17:21

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Solution of Dirichlet problem in a ball?

Published on 04 Oct 2014 - 22:36

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Maximum principle for harmonic functions on unbounded domain

Published on 25 Mar 2026 - 15:58

347

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Prove that $(\frac{\partial^2}{\partial^2 x} + \frac{\partial^2}{\partial^2 y})|f(z)|^2 = 4|f'(z)|^2$

Published on 25 Mar 2026 - 21:50

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A harmonic function bounded from below is constant

Published on 07 Oct 2014 - 3:28

2.2k

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Proof of reflection principle for harmonic functions

Published on 08 Oct 2014 - 0:30

562

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Average value of a bilinear map on a Euclidean sphere

Published on 26 Mar 2026 - 1:28

716

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Harmonic functions that uniformly convergent?

Published on 09 Oct 2014 - 16:39

674

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The solution of $\Delta u=u^3$ with zero boundary values is identically zero

Published on 25 Mar 2026 - 16:00

120

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Find a harmonic function on two concentric balls?

Published on 11 Oct 2014 - 15:50

581

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Uniqueness in boundary value problem for the biharmonic functions

Published on 11 Oct 2014 - 20:36

115

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Prove a function is subharmonic?__Gilbarg Exercise

Published on 12 Oct 2014 - 16:16

220

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Local barrier implies barrier?

Published on 12 Oct 2014 - 19:13

201

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Help with biharmonic functions

Published on 13 Oct 2014 - 1:48

320

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Can a real harmonic function on the unit disk satisfy $f(0)=1$ while the area of $\{z:f(z)>0\}$ is zero?

Published on 14 Oct 2014 - 3:55

List Question

How to do the "direct calculation"?

Solution of Dirichlet problem in a ball?

Maximum principle for harmonic functions on unbounded domain

Prove that $(\frac{\partial^2}{\partial^2 x} + \frac{\partial^2}{\partial^2 y})|f(z)|^2 = 4|f'(z)|^2$

A harmonic function bounded from below is constant

Proof of reflection principle for harmonic functions

Average value of a bilinear map on a Euclidean sphere

Harmonic functions that uniformly convergent?

The solution of $\Delta u=u^3$ with zero boundary values is identically zero

Find a harmonic function on two concentric balls?

Uniqueness in boundary value problem for the biharmonic functions

Prove a function is subharmonic?__Gilbarg Exercise

Local barrier implies barrier?

Help with biharmonic functions

Can a real harmonic function on the unit disk satisfy $f(0)=1$ while the area of $\{z:f(z)>0\}$ is zero?

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