List questions from potential-theory

Published on 25 Mar 2026 - 12:48

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Why is this a continuity principle?

Published on 25 Mar 2026 - 11:09

794

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Example of discontinuous subharmonic function

Published on 22 Mar 2026 - 13:05

29

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Seeking an example of potential.

Published on 22 Mar 2026 - 6:01

520

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Is there more to complex analysis than a two-dimensional potential theory?

Published on 25 Mar 2026 - 12:55

228

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Help with hyperbolic integral $\int_0^\infty x\frac{\cosh(bx)}{\sinh(x)}dx.$

Published on 25 Mar 2026 - 9:26

91

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Charge density of charged conductor with flat side

Published on 25 Mar 2026 - 8:21

462

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Definition of exterior boundary of compact set

Published on 22 Mar 2026 - 10:04

77

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Morrey embedding for Potential Spaces

Published on 24 Mar 2026 - 23:59

151

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When does a function on the circle have a finite Dirichlet energy extension to the disk?

Published on 26 Sep 2018 - 7:54

237

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Evaluate $\int_0^{2\pi}\ln(1+a^2-2a\cos(x))dx\text{ ,with }a>0$

Published on 25 Mar 2026 - 1:16

49

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Definition of $C^{m,k/2}$-capacity of a point.

Published on 22 Mar 2026 - 12:45

114

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Give a subharmonic function that is not real analytic

Published on 22 Mar 2026 - 17:37

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Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

Published on 20 Nov 2018 - 8:18

171

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Upper envelope of plurisubharmonic functions

Published on 25 Mar 2026 - 7:41

List Question

Understanding the proof of a continuity principle for potentials

Why is this a continuity principle?

Example of discontinuous subharmonic function

Seeking an example of potential.

Is there more to complex analysis than a two-dimensional potential theory?

Help with hyperbolic integral $\int_0^\infty x\frac{\cosh(bx)}{\sinh(x)}dx.$

Charge density of charged conductor with flat side

Definition of exterior boundary of compact set

Morrey embedding for Potential Spaces

When does a function on the circle have a finite Dirichlet energy extension to the disk?

Evaluate $\int_0^{2\pi}\ln(1+a^2-2a\cos(x))dx\text{ ,with }a>0$

Definition of $C^{m,k/2}$-capacity of a point.

Give a subharmonic function that is not real analytic

Let $v(x) = \int_{B(0,R)} \frac{c}{||x-y||^{n-2}}\mathrm{d}y$. Show that for $x \in B(0,R)^c$ we have $v(x) = c_1||x||^{2-n} + c_0$

Upper envelope of plurisubharmonic functions

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