List questions from laplacian

Published on 21 Mar 2026 - 19:17

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Heat kernel on the unit circle $\mathbb{R}/\mathbb{Z}$

Published on 17 Mar 2026 - 22:26

261

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is the Laplacian just the gradient dotted with itself?

Published on 23 Mar 2018 - 15:34

290

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first eigen value of Laplacian

Published on 22 Mar 2026 - 2:29

53

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The Laplacian operator of $\;{ {\zeta}_0}^2+{ {\zeta}_1}^2=1\;$

Published on 22 Mar 2026 - 22:57

124

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why Laplacian in Cartesian and cylindrical coordinates produces different results?

Published on 24 Mar 2026 - 0:12

57

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how to show that $\Delta [\frac{c- |x-a|^2}{|x-b|^n}] = 2n|x-b|^{-n-2}(c-|a-b|^2), \; x \neq b$

Published on 04 Apr 2018 - 12:44

336

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Local form of $p$-Laplacian operator in Riemannian manifold

Published on 24 Feb 2026 - 11:59

185

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Question for solving the Laplace's equation by finding radial solution

Published on 17 Apr 2018 - 8:13

81

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Reference for Laplace and Poisson equation (PDE)

Published on 22 Mar 2026 - 6:17

833

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Norm of laplacian in dual space $H^{-2}$

Published on 22 Mar 2026 - 18:47

1.6k

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Potential flow around a torus - Laplace equation in toroidal coordinates

Published on 20 Apr 2018 - 23:07

802

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Does the largest eigenvalue give the order of the largest connected component?

Published on 22 Mar 2026 - 19:23

777

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Prove that the Laplace's equation $\Delta u=0$ is rotation invariant on ${\mathbb R}^n$

Published on 25 Apr 2018 - 13:50

68

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An integral equation of a $k$-homogeneous function $f$ over $\mathbb{R}^3$

Published on 26 Apr 2018 - 18:53

List Question

How many nodes does a Laplacian eigenfunction have?

Heat kernel on the unit circle $\mathbb{R}/\mathbb{Z}$

is the Laplacian just the gradient dotted with itself?

first eigen value of Laplacian

The Laplacian operator of $\;{ {\zeta}_0}^2+{ {\zeta}_1}^2=1\;$

why Laplacian in Cartesian and cylindrical coordinates produces different results?

how to show that $\Delta [\frac{c- |x-a|^2}{|x-b|^n}] = 2n|x-b|^{-n-2}(c-|a-b|^2), \; x \neq b$

Local form of $p$-Laplacian operator in Riemannian manifold

Question for solving the Laplace's equation by finding radial solution

Reference for Laplace and Poisson equation (PDE)

Norm of laplacian in dual space $H^{-2}$

Potential flow around a torus - Laplace equation in toroidal coordinates

Does the largest eigenvalue give the order of the largest connected component?

Prove that the Laplace's equation $\Delta u=0$ is rotation invariant on ${\mathbb R}^n$

An integral equation of a $k$-homogeneous function $f$ over $\mathbb{R}^3$

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