List questions from harmonic-functions

Published on 25 Mar 2026 - 21:00

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Solving Poisson Equation Proof in Lawrence C. Evans Theorem 1 page 23

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Recurrence relation with summation and 2 variables

Published on 18 Oct 2017 - 8:24

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Solutions of Laplace's Equation in the polar coordinates

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Integral of the conjugate Poisson Kernel

Published on 19 Oct 2017 - 10:26

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Confusion relating harmonicity and analyticity

Published on 21 Oct 2017 - 11:07

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Annihilator of the image of $\Delta$ is a subset of the space of harmonic functions.

Published on 30 Mar 2026 - 0:22

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Show that $u$ is the real part of $g$ and $g(0) = 0$

Published on 23 Oct 2017 - 16:20

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Choose $u_{m}\in W_{p}^{2}(\Omega)\cap W_{q}^{2}(\Omega)$ to harmonic function $u$.

Published on 24 Oct 2017 - 7:36

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Existence of a harmonic function with prescribed values at the center and 4 boundary points

Published on 24 Oct 2017 - 13:20

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Connection between harmonic functions and harmonic analyis?

Published on 25 Oct 2017 - 9:33

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Proof without using Green's Identity

Published on 26 Oct 2017 - 2:10

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How to solve this mixed boundary value problem for Laplace's equation in upper half-plane?

Published on 03 Apr 2026 - 4:17

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Use $e^{ia}+e^{ib}$ to show that $y(t)=2A\cos(\frac{\delta}{2}t-\frac{\phi_1 -\phi_2}{2})\sin((\omega+\frac{\delta}{2})t+\frac{\phi_1 +\phi_2}{2})$

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Maximum principle on punctured ball

Published on 27 Mar 2026 - 16:02

List Question

Pointwise upper bound on a harmonic function away from boundary

Solving Poisson Equation Proof in Lawrence C. Evans Theorem 1 page 23

Recurrence relation with summation and 2 variables

Solutions of Laplace's Equation in the polar coordinates

Integral of the conjugate Poisson Kernel

Confusion relating harmonicity and analyticity

Annihilator of the image of $\Delta$ is a subset of the space of harmonic functions.

Show that $u$ is the real part of $g$ and $g(0) = 0$

Choose $u_{m}\in W_{p}^{2}(\Omega)\cap W_{q}^{2}(\Omega)$ to harmonic function $u$.

Existence of a harmonic function with prescribed values at the center and 4 boundary points

Connection between harmonic functions and harmonic analyis?

Proof without using Green's Identity

How to solve this mixed boundary value problem for Laplace's equation in upper half-plane?

Use $e^{ia}+e^{ib}$ to show that $y(t)=2A\cos(\frac{\delta}{2}t-\frac{\phi_1 -\phi_2}{2})\sin((\omega+\frac{\delta}{2})t+\frac{\phi_1 +\phi_2}{2})$

Maximum principle on punctured ball

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