List questions from laplacian

Published on 10 May 2026 - 12:29

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

Published on 29 Apr 2026 - 12:48

264

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is the Laplacian just the gradient dotted with itself?

Published on 13 Apr 2026 - 18:21

296

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first eigen value of Laplacian

Published on 29 Apr 2026 - 12:51

59

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

Published on 10 May 2026 - 12:22

130

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why Laplacian in Cartesian and cylindrical coordinates produces different results?

Published on 10 May 2026 - 11:20

62

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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 29 Apr 2026 - 12:51

340

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

Published on 29 Apr 2026 - 12:51

189

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

Published on 29 Apr 2026 - 12:50

88

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Reference for Laplace and Poisson equation (PDE)

Published on 29 Apr 2026 - 12:51

838

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

Published on 10 May 2026 - 9:17

1.6k

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Potential flow around a torus - Laplace equation in toroidal coordinates

Published on 15 Apr 2026 - 4:04

810

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

Published on 29 Apr 2026 - 12:42

781

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

Published on 29 Apr 2026 - 12:50

71

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

Published on 09 Apr 2026 - 7:34

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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