List questions from laplacian

Published on 25 Jun 2015 - 10:08

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Fundamental solution to the Poisson equation by Fourier transform

Published on 26 Mar 2026 - 22:13

213

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First Eigenfunction of Simple Equation

Published on 27 Mar 2026 - 7:21

872

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Is Wolfram-Alpha giving me a wrong result?

Published on 27 Mar 2026 - 0:09

2k

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Intuition behind eigenfunctions of the Laplacian operator

Published on 03 Jul 2015 - 21:04

2.3k

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Why is a diffeomorphism an isometry if and only if it commutes with the Laplacian?

Published on 04 Jul 2015 - 2:15

120

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Why can we subtract two terms and use this as a way to simplify the overall expression?

Published on 04 Jul 2015 - 21:02

243

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Operator equation $Au = f$ for $-\Delta u(x)=f(x)$

Published on 27 Mar 2026 - 4:21

34

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Nonlinear-Variation of Helmholtz Equation

Published on 06 Jul 2015 - 17:11

106

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Which 2D domain with fixed area has the lowest laplacian eigenvalue?

Published on 23 Feb 2026 - 17:14

447

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Show that a nonconstant subharmonic function on a manifold cannot attain its supremum

Published on 08 Jul 2015 - 10:19

7.4k

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Does the symbol $\nabla^2$ has the same meaning in Laplace Equation and Hessian Matrix?

Published on 08 Jul 2015 - 11:48

50

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Maximum principle, quantitative version

Published on 26 Mar 2026 - 20:43

1.8k

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Hodge laplacian of distance function

Published on 26 Mar 2026 - 21:35

656

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Definition of Sobolev space $H^s$ and domain of $-\Delta^s$

Published on 19 Jul 2015 - 18:02

List Question

Integral of Laplace-Beltrami operator over a manifold

Fundamental solution to the Poisson equation by Fourier transform

First Eigenfunction of Simple Equation

Is Wolfram-Alpha giving me a wrong result?

Intuition behind eigenfunctions of the Laplacian operator

Why is a diffeomorphism an isometry if and only if it commutes with the Laplacian?

Why can we subtract two terms and use this as a way to simplify the overall expression?

Operator equation $Au = f$ for $-\Delta u(x)=f(x)$

Nonlinear-Variation of Helmholtz Equation

Which 2D domain with fixed area has the lowest laplacian eigenvalue?

Show that a nonconstant subharmonic function on a manifold cannot attain its supremum

Does the symbol $\nabla^2$ has the same meaning in Laplace Equation and Hessian Matrix?

Maximum principle, quantitative version

Hodge laplacian of distance function

Definition of Sobolev space $H^s$ and domain of $-\Delta^s$

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