List questions from potential-theory

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Probability, potential theory and complex analysis

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Classical balayage

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Velocity potential in conical coordinate

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Evaluating this integral of the Coulomb interaction

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Divergence free field from neural network with automatic derivatives and a potential function

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Prove $ \lim_{\varepsilon\to 0} \frac{dH^{n-1}(\Omega\cap\partial B(x,\varepsilon))}{dH^{n-1}(\partial B(x,\varepsilon))} = \frac{1}{2}.$

Published on 25 Mar 2026 - 3:22

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Can we construct a compact complete pluripolar set?

Published on 26 Mar 2026 - 16:03

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proof related to jump relation in double-layer potential

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89

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Green function for the upper-half space $\mathbb{R}^{n+1}_+$

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Integral for the surface area of a half n-sphere

Published on 28 Mar 2026 - 0:48

54

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Level set of green function

Published on 27 Mar 2026 - 7:30

49

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How to evaluate a volume integral with a singular interior point?

Published on 07 Sep 2023 - 17:43

150

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Different definitions of conformal capacity

Published on 29 Sep 2023 - 6:34

List Question

Potential and integral (electrodynamics)

Perron's method for the Dirichlet problem: Necessity of subharmonic barrier

Probability, potential theory and complex analysis

Classical balayage

Velocity potential in conical coordinate

Evaluating this integral of the Coulomb interaction

Divergence free field from neural network with automatic derivatives and a potential function

Prove $ \lim_{\varepsilon\to 0} \frac{dH^{n-1}(\Omega\cap\partial B(x,\varepsilon))}{dH^{n-1}(\partial B(x,\varepsilon))} = \frac{1}{2}.$

Can we construct a compact complete pluripolar set?

proof related to jump relation in double-layer potential

Green function for the upper-half space $\mathbb{R}^{n+1}_+$

Integral for the surface area of a half n-sphere

Level set of green function

How to evaluate a volume integral with a singular interior point?

Different definitions of conformal capacity

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