List questions from harmonic-functions

Published on 22 Jul 2014 - 21:25

808

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Showing that two given functions are harmonic

Published on 23 Jul 2014 - 9:41

639

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Potential equation in rectangle with boundary values

Published on 25 Jul 2014 - 9:49

164

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Comparison of the gradients of two harmonic functions near the boundary

Published on 31 Jul 2014 - 19:48

735

Views

Find an harmonic function in $\mathbb R^n$ which is a polynomial of degree 4 and is 1 at the origin

Published on 01 Aug 2014 - 2:13

95

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Property about positive harmonic functions

Published on 02 Aug 2014 - 2:43

77

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Proof that function is real part of $\sec(z)$

Published on 26 Mar 2026 - 6:05

292

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Harmonic except at a point

Published on 05 Aug 2014 - 3:20

121

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When is a harmonic map biholomorphic?

Published on 06 Aug 2014 - 14:53

2.9k

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Finding the solution $u(x,y)$ to Laplace's equation in a rectangle.

Published on 06 Aug 2014 - 18:56

265

Views

Integral over compact boundary is finite in the context of potential function

Published on 09 Aug 2014 - 7:46

55

Views

Prove $F(r)=Cr^2\log(r)$ is a fundamental solution for $\Delta^2$ in $\mathbb R^2$

Published on 25 Mar 2026 - 6:05

59

Views

Showing that a function is harmonic using a specific method

Published on 13 Aug 2014 - 5:43

103

Views

Fake proof using mean value property

Published on 26 Mar 2026 - 12:42

2.6k

Views

To show unique solution for the Laplace equation

Published on 15 Aug 2014 - 6:38

List Question

Showing that $u(x, \, y) = \ln(x^2 + y^2)$ is harmonic without computing partial derivatives

Showing that two given functions are harmonic

Potential equation in rectangle with boundary values

Comparison of the gradients of two harmonic functions near the boundary

Find an harmonic function in $\mathbb R^n$ which is a polynomial of degree 4 and is 1 at the origin

Property about positive harmonic functions

Proof that function is real part of $\sec(z)$

Harmonic except at a point

When is a harmonic map biholomorphic?

Finding the solution $u(x,y)$ to Laplace's equation in a rectangle.

Integral over compact boundary is finite in the context of potential function

Prove $F(r)=Cr^2\log(r)$ is a fundamental solution for $\Delta^2$ in $\mathbb R^2$

Showing that a function is harmonic using a specific method

Fake proof using mean value property

To show unique solution for the Laplace equation

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