List questions from potential-theory

Published on 31 Dec 2020 - 3:09

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Potential theory and examples of hyperharmonic functions

Published on 15 Jan 2021 - 12:39

52

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References for magnetic Sobolev spaces

Published on 26 Mar 2026 - 9:20

186

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Question about continuity of stopping time probability in proof of Dirichlet problem in Stein and Shakarchi

Published on 15 Mar 2021 - 9:25

57

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A superharmonic function that is zero on a compact set

Published on 29 Mar 2021 - 0:42

26

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continuity of $J(r,y) = |S^{n-1}|^{-1} \int_{\mathbb{R}^n} |r \omega - y|^{2-n} \text{d} \omega$

Published on 01 Apr 2021 - 15:36

25

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A superharmonic function that is zero on a compact set 2

Published on 01 Apr 2021 - 23:27

135

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A subharmonic function in a ball

Published on 03 Apr 2021 - 17:26

191

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Double layer potential in 1d?

Published on 18 Apr 2021 - 0:07

180

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Let $u$ be a negative subharmonic function on $D(0,1)$. Then $\limsup_{r\to 1^-} \frac{u(rz_0)}{1-r}< 0$ for each $z_0\in \partial D(0,1)$.

Published on 19 Apr 2021 - 5:09

69

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Helmholtz equation Inequality (potential theory)

Published on 03 May 2021 - 8:46

190

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How to use Hardy-Littlewood-Sobolev inequality to estimate an integral involving two fuctions and Riesz Potential.

Published on 03 May 2021 - 19:56

29

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Boundary characterization of harmonic functions on $\Bbb R^n$

Published on 14 May 2021 - 14:22

185

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L2 Dirichlet flow of the linear Fokker-Planck equation

Published on 27 Mar 2026 - 12:17

628

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Laplace equation for circular symmetry: given a potential $\phi (z,0)$, how to find $\phi (0,r)$?

Published on 27 Mar 2026 - 14:59

List Question

How to prove case 1 of Theorem 4.3 in "Calculus of Several Variables" by Serge Lang?

Potential theory and examples of hyperharmonic functions

References for magnetic Sobolev spaces

Question about continuity of stopping time probability in proof of Dirichlet problem in Stein and Shakarchi

A superharmonic function that is zero on a compact set

continuity of $J(r,y) = |S^{n-1}|^{-1} \int_{\mathbb{R}^n} |r \omega - y|^{2-n} \text{d} \omega$

A superharmonic function that is zero on a compact set 2

A subharmonic function in a ball

Double layer potential in 1d?

Let $u$ be a negative subharmonic function on $D(0,1)$. Then $\limsup_{r\to 1^-} \frac{u(rz_0)}{1-r}< 0$ for each $z_0\in \partial D(0,1)$.

Helmholtz equation Inequality (potential theory)

How to use Hardy-Littlewood-Sobolev inequality to estimate an integral involving two fuctions and Riesz Potential.

Boundary characterization of harmonic functions on $\Bbb R^n$

L2 Dirichlet flow of the linear Fokker-Planck equation

Laplace equation for circular symmetry: given a potential $\phi (z,0)$, how to find $\phi (0,r)$?

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