List questions from laplacian

Published on 26 Mar 2026 - 21:26

422

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Evans proof of the maximum principle for subharmonic functions

Published on 28 Mar 2026 - 0:28

49

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If $e_1$ is the first eigenfunciton on $Ω$, then $0<\inf \frac{e_1(x)}{d(x,\:∂Ω)}<\sup \frac{e_1(x)}{d(x,\:∂Ω)}<\infty$?

Published on 28 Mar 2026 - 13:21

56

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Formula for $\Delta e_1^p$, where $e_1$ is the first eigenfunction of the Dirichlet Laplacian

Published on 28 Mar 2026 - 14:55

214

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Boundary conditions for self-adjoint extensions of Laplacian

Published on 29 Mar 2026 - 3:02

387

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Do harmonic functions span the space of functions on manifolds?

Published on 11 Jul 2021 - 18:54

146

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Laplace equation with Dirichlect boundary condition for the punctured ball

Published on 28 Mar 2026 - 0:28

74

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How to solve Laplce equation with Dirichlet exterior?

Published on 28 Mar 2026 - 3:35

142

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Using Kelvin transform to solve Dirichlet problem for Laplace's equation

Published on 28 Mar 2026 - 5:22

45

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Electrostatic Potential and Compactly Supported Functions

Published on 19 Jul 2021 - 9:52

43

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What is the heat kernel of the Laplacian on $U\subset\mathbf{R}^n$?

Published on 01 Apr 2026 - 19:16

509

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Divergence is coordinate independent

Published on 28 Mar 2026 - 13:59

73

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Second time derivative and laplacian of solution of Cauchy Problem for wave equation

Published on 25 Jul 2021 - 22:37

1k

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Green's function solution to 4D Laplace equation.

Published on 29 Mar 2026 - 3:02

28

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How to show that $\Delta W \leq −2(n − 4)V$?

Published on 30 Jul 2021 - 11:42

List Question

Separation of variables for the fractional laplacian

Evans proof of the maximum principle for subharmonic functions

If $e_1$ is the first eigenfunciton on $Ω$, then $0<\inf \frac{e_1(x)}{d(x,\:∂Ω)}<\sup \frac{e_1(x)}{d(x,\:∂Ω)}<\infty$?

Formula for $\Delta e_1^p$, where $e_1$ is the first eigenfunction of the Dirichlet Laplacian

Boundary conditions for self-adjoint extensions of Laplacian

Do harmonic functions span the space of functions on manifolds?

Laplace equation with Dirichlect boundary condition for the punctured ball

How to solve Laplce equation with Dirichlet exterior?

Using Kelvin transform to solve Dirichlet problem for Laplace's equation

Electrostatic Potential and Compactly Supported Functions

What is the heat kernel of the Laplacian on $U\subset\mathbf{R}^n$?

Divergence is coordinate independent

Second time derivative and laplacian of solution of Cauchy Problem for wave equation

Green's function solution to 4D Laplace equation.

How to show that $\Delta W \leq −2(n − 4)V$?

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