List questions from harmonic-functions

Published on 02 Apr 2019 - 0:36

52

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Integral of positive part of harmonic function over circles goes to infinity

Published on 03 Apr 2019 - 2:58

327

Views

Estimates on Hessian of Solution to Poisson Equation

Published on 25 Mar 2026 - 8:00

971

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Bound on gradient of Harmonic functions

Published on 05 Apr 2019 - 20:56

47

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Maximum Principle for estimate norm

Published on 25 Mar 2026 - 9:32

75

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Solutions to $\Delta u = u_{xx} + u_{yy} + u_{zz} = 0$ that only depend on r

Published on 25 Mar 2026 - 13:55

327

Views

Regarding sequence of positive Harmonic functions

Published on 08 Apr 2019 - 10:48

1k

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$Log(z^2)$ analytic for all of the complex plane except origin.

Published on 25 Mar 2026 - 3:22

270

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Can a decreasing sequence of subharmonic functions converge to a discontinuous function?

Published on 14 Apr 2019 - 5:38

302

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Poisson formula on a disc is continuous on the closure

Published on 14 Apr 2019 - 17:29

351

Views

Harmonic function theory, Kelvin Transform

Published on 16 Apr 2019 - 10:39

45

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Problem of complex equations and Cauchy-Riemann

Published on 17 Apr 2019 - 20:06

248

Views

Regularity of harmonic functions

Published on 18 Apr 2019 - 9:29

642

Views

Is a harmonic function in $\mathbb{R}^2$ which is $o(\ln |x|)$ a constant?

Published on 21 Apr 2019 - 4:45

171

Views

Does the domain where a harmonic map is conformal has Hausdorff dimension smaller than one?

Published on 25 Mar 2026 - 10:55

List Question

Geometric intuition for harmonic conjugate functions

Integral of positive part of harmonic function over circles goes to infinity

Estimates on Hessian of Solution to Poisson Equation

Bound on gradient of Harmonic functions

Maximum Principle for estimate norm

Solutions to $\Delta u = u_{xx} + u_{yy} + u_{zz} = 0$ that only depend on r

Regarding sequence of positive Harmonic functions

$Log(z^2)$ analytic for all of the complex plane except origin.

Can a decreasing sequence of subharmonic functions converge to a discontinuous function?

Poisson formula on a disc is continuous on the closure

Harmonic function theory, Kelvin Transform

Problem of complex equations and Cauchy-Riemann

Regularity of harmonic functions

Is a harmonic function in $\mathbb{R}^2$ which is $o(\ln |x|)$ a constant?

Does the domain where a harmonic map is conformal has Hausdorff dimension smaller than one?

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