List questions from potential-theory

Published on 07 Aug 2013 - 13:44

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aproximation in Sobolev Spaces

Published on 08 Aug 2013 - 20:05

147

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Prove that $\log(\max(\left | z_1 \right |,\left | z_2 \right |,\ldots,\left | z_n \right |)) \in MPSH(\Omega)$

Published on 27 Mar 2026 - 14:55

73

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Bounds on solutions of elliptic pde's in the whole plane

Published on 03 Sep 2013 - 21:04

353

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Interpretation of potential kernels for Markov processes

Published on 12 Sep 2013 - 21:54

1.6k

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Potentials in Probability Theory

Published on 21 Sep 2013 - 18:26

103

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Show that $\widetilde{u} \in PSH(\Omega)$

Published on 27 Mar 2026 - 14:45

196

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Prove that $u \circ f $ is plurisubharmonic on $\Omega_1$

Published on 27 Mar 2026 - 14:54

144

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Understanding Lyapunov boundaries and where are they used?

Published on 06 Nov 2013 - 17:37

6.2k

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Reference on Doob's h-transform

Published on 20 Nov 2013 - 3:20

143

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Show $\int_{\mathbb{R}^n}\Delta_x \Phi(x-y)f(y)dy = \int_{\mathbb{R}^n}\Delta_y \Phi(x-y)f(y)dy.$

Published on 25 Nov 2013 - 1:01

124

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$\nabla_y \left( \frac{1}{|x-y|} \right)= \frac{x-y}{|x-y|^3},$ right? Fundamental solution to Laplace in $\mathbb{R}^3$

Published on 02 Dec 2013 - 0:46

859

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The second Friedrichs' inequalities?

Published on 02 Dec 2013 - 6:19

467

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Show that the Kelvin transformation is a diffeomorphism and find the inverse

Published on 05 Dec 2013 - 12:40

313

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Volume potential (show continuity)

Published on 18 Dec 2013 - 16:32

List Question

The second derivative of simple layer potential

aproximation in Sobolev Spaces

Prove that $\log(\max(\left | z_1 \right |,\left | z_2 \right |,\ldots,\left | z_n \right |)) \in MPSH(\Omega)$

Bounds on solutions of elliptic pde's in the whole plane

Interpretation of potential kernels for Markov processes

Potentials in Probability Theory

Show that $\widetilde{u} \in PSH(\Omega)$

Prove that $u \circ f $ is plurisubharmonic on $\Omega_1$

Understanding Lyapunov boundaries and where are they used?

Reference on Doob's h-transform

Show $\int_{\mathbb{R}^n}\Delta_x \Phi(x-y)f(y)dy = \int_{\mathbb{R}^n}\Delta_y \Phi(x-y)f(y)dy.$

$\nabla_y \left( \frac{1}{|x-y|} \right)= \frac{x-y}{|x-y|^3},$ right? Fundamental solution to Laplace in $\mathbb{R}^3$

The second Friedrichs' inequalities?

Show that the Kelvin transformation is a diffeomorphism and find the inverse

Volume potential (show continuity)

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