List questions from potential-theory

Published on 16 May 2019 - 15:20

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Is there a way to mathematically prove $\psi (\mathbf{r})$ varies continuously (using the intuitive arguments provided below)?

Published on 22 May 2019 - 16:58

126

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Dirichlet problem on a wire: a co-dimension 2 boundary condition

Published on 25 Mar 2026 - 4:38

1.1k

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Bounded Subharmonic functions in the Plane are constant.

Published on 10 Jun 2019 - 22:10

250

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Mollifier of a subharmonic function

Published on 29 Jun 2019 - 17:42

281

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How to bound this integral with the Hardy-Littlewood maximal function

Published on 05 Jul 2019 - 8:34

58

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Do the following extra highlighted words in the $\epsilon-\delta$ definition of limit prevent us from concluding that the limit exists? Why? Why not?

Published on 16 Jul 2019 - 8:43

305

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Poisson Equation on $\mathbb{R}^3$.

Published on 25 Mar 2026 - 16:07

40

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Uniform behaviour of limit infimum

Published on 04 Sep 2019 - 7:04

110

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The integral with respect to the Riesz measure over a compact with empty interior

Published on 08 Sep 2019 - 2:03

773

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Necessary and sufficient for vector field to be conservative

Published on 13 Sep 2019 - 14:55

36

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A question on integrability of harmonic functions

Published on 18 Sep 2019 - 16:51

68

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Null sets and the Riesz measure of a subharmonic function

Published on 22 Sep 2019 - 19:35

239

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The integral is not iterated integral. Will this fact prevent us from swapping the order of surface and volume integrals? Why? Why not?

Published on 21 Mar 2026 - 2:02

602

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Some properties of capacity

Published on 26 Mar 2014 - 20:59

List Question

Potential Theory vs Harmonic Analysis

Is there a way to mathematically prove $\psi (\mathbf{r})$ varies continuously (using the intuitive arguments provided below)?

Dirichlet problem on a wire: a co-dimension 2 boundary condition

Bounded Subharmonic functions in the Plane are constant.

Mollifier of a subharmonic function

How to bound this integral with the Hardy-Littlewood maximal function

Do the following extra highlighted words in the $\epsilon-\delta$ definition of limit prevent us from concluding that the limit exists? Why? Why not?

Poisson Equation on $\mathbb{R}^3$.

Uniform behaviour of limit infimum

The integral with respect to the Riesz measure over a compact with empty interior

Necessary and sufficient for vector field to be conservative

A question on integrability of harmonic functions

Null sets and the Riesz measure of a subharmonic function

The integral is not iterated integral. Will this fact prevent us from swapping the order of surface and volume integrals? Why? Why not?

Some properties of capacity

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