List questions from potential-theory

Published on 01 Apr 2026 - 16:21

109

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

Published on 25 Mar 2026 - 21:49

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 25 Mar 2026 - 21:46

252

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Mollifier of a subharmonic function

Published on 01 Apr 2026 - 16:22

286

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

Published on 17 Apr 2026 - 5:00

61

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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 10 Apr 2026 - 14:08

308

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

Published on 10 Apr 2026 - 10:54

44

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Uniform behaviour of limit infimum

Published on 11 Apr 2026 - 11:28

113

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

Published on 14 Apr 2026 - 20:22

776

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Necessary and sufficient for vector field to be conservative

Published on 13 Apr 2026 - 16:28

39

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A question on integrability of harmonic functions

Published on 12 Apr 2026 - 9:54

71

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Null sets and the Riesz measure of a subharmonic function

Published on 12 Apr 2026 - 16:30

240

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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 25 Mar 2026 - 21:49

607

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Some properties of capacity

Published on 30 Apr 2026 - 14:20

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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