List questions from laplacian

Published on 28 Mar 2026 - 19:30

90

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Harmonic Function and Subharmonic function

Published on 28 Mar 2026 - 22:24

423

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Commutator of Laplacian and a vector field on a Riemannian maniofld

Published on 22 Feb 2022 - 18:35

40

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Volume potential for Laplace equation in $\mathbb{R}^3$ with $L^p$ source term

Published on 26 Mar 2026 - 2:45

36

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When transforming a Laplacian from Cartesian to spherical coordinates, why do mixed derivatives vanish?

Published on 24 Feb 2022 - 18:53

55

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Identity regarding Pseudodifferential operator

Published on 24 Feb 2022 - 23:25

41

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Discrete Harmonic functions converge to a harmonic function

Published on 25 Feb 2022 - 9:57

153

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Computing the Adjoint of an Operator

Published on 29 Mar 2026 - 9:18

313

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Resolvent of Dirichlet Laplacian via Fourier Transform

Published on 29 Mar 2026 - 6:33

255

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Explicit form of Harnack's inequality

Published on 14 Mar 2022 - 20:44

62

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Is the conformal Killing factor always an eigenvalue of the Laplacian?

Published on 01 Apr 2026 - 11:37

110

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Is $\nabla^2 f/f\in\mathbb{R}$ for a complex-valued $f\in L^2$?

Published on 16 Mar 2022 - 13:27

258

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Kernel of Laplacian plus a function

Published on 26 Mar 2026 - 1:34

30

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Is there an integral transform formula for $(-\nabla^2 + m^2)^{\frac{1}{2}}$ in three dimensions? What about its one sided inverse?

Published on 27 Mar 2026 - 7:18

211

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Show that this is a solution of this wave equation

Published on 02 Apr 2026 - 9:15

List Question

Two eigenfunctions with parallel gradients

Harmonic Function and Subharmonic function

Commutator of Laplacian and a vector field on a Riemannian maniofld

Volume potential for Laplace equation in $\mathbb{R}^3$ with $L^p$ source term

When transforming a Laplacian from Cartesian to spherical coordinates, why do mixed derivatives vanish?

Identity regarding Pseudodifferential operator

Discrete Harmonic functions converge to a harmonic function

Computing the Adjoint of an Operator

Resolvent of Dirichlet Laplacian via Fourier Transform

Explicit form of Harnack's inequality

Is the conformal Killing factor always an eigenvalue of the Laplacian?

Is $\nabla^2 f/f\in\mathbb{R}$ for a complex-valued $f\in L^2$?

Kernel of Laplacian plus a function

Is there an integral transform formula for $(-\nabla^2 + m^2)^{\frac{1}{2}}$ in three dimensions? What about its one sided inverse?

Show that this is a solution of this wave equation

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