List questions from potential-theory

Published on 26 Jul 2014 - 16:48

641

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Why is the integral of $\|\nabla f\|^2$ called the energy of $f$?

Published on 09 Aug 2014 - 18:38

270

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Finding the transfinite diameter of the level sets of complex logarithm

Published on 11 Aug 2014 - 20:17

136

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Show that requiring Electrostatic potential to be a stationary point of Electrostatic potential energy is equivalent to Laplace's equation.

Published on 25 Mar 2026 - 21:54

395

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Complex potential between axes & hyperbola

Published on 13 Oct 2014 - 16:01

134

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Newtonian potential of torus

Published on 17 Oct 2014 - 13:33

154

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Newtonian potential for ellipsoid

Published on 25 Mar 2026 - 19:01

59

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Is the potential of a periodic conservative field periodic?

Published on 24 Oct 2014 - 19:34

171

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The existence of a measure of finite energy implies a lower bound on Hausdorff dimension

Published on 25 Mar 2026 - 17:21

1.1k

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Harmonic functions in the upper half plane

Published on 01 Nov 2014 - 23:29

252

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maps that preserve harmonic functions

Published on 01 Nov 2014 - 23:32

251

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How to finish the computation of $u(x)=\int_{B_R(0)}\frac{1}{|y-x|}dy$?

Published on 08 Nov 2014 - 20:34

2.5k

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You can't solve Laplace's equation with boundary conditions on isolated points. But why?

Published on 11 Nov 2014 - 7:52

209

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A polynomial can be written as the difference of sub-harmonic functions

Published on 06 Dec 2014 - 21:52

59

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Potentials and Markov Processes

Published on 07 Dec 2014 - 21:06

List Question

Riesz measure associated with a subharmonic function

Why is the integral of $\|\nabla f\|^2$ called the energy of $f$?

Finding the transfinite diameter of the level sets of complex logarithm

Show that requiring Electrostatic potential to be a stationary point of Electrostatic potential energy is equivalent to Laplace's equation.

Complex potential between axes & hyperbola

Newtonian potential of torus

Newtonian potential for ellipsoid

Is the potential of a periodic conservative field periodic?

The existence of a measure of finite energy implies a lower bound on Hausdorff dimension

Harmonic functions in the upper half plane

maps that preserve harmonic functions

How to finish the computation of $u(x)=\int_{B_R(0)}\frac{1}{|y-x|}dy$?

You can't solve Laplace's equation with boundary conditions on isolated points. But why?

A polynomial can be written as the difference of sub-harmonic functions

Potentials and Markov Processes

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