List questions from eigenfunctions

Published on 23 Jul 2022 - 15:45

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Eigen values of a boundary value problem .

Published on 04 Aug 2022 - 17:17

170

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Orthogonality of eigenfunctions corresponding to an eigenvalue having multiplicity

Published on 05 Aug 2022 - 0:43

134

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Localization of ground state Schrödinger eigenfunction

Published on 20 Aug 2022 - 13:51

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Wave-equation on a horn

Published on 01 Sep 2022 - 10:36

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Eigenfunctions of the Laplacian under a change of coordinates

Published on 06 Sep 2022 - 17:14

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Pointwise convergence in a Sturm-Liouvlle problem.

Published on 26 Feb 2026 - 14:05

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Let $u$ be the first Dirichlet eigenfunction, does there exist $\epsilon,\delta>0$ such that $|\nabla u(x)|\geq\epsilon$ for any $x$ st $u(x)<\delta$

Published on 26 Feb 2026 - 18:46

59

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Laplacian Dirichlet eigenvalues on a given domain

Published on 27 Mar 2026 - 22:59

112

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How to compute $\partial^2_{n,n} u(x_0)$ for $x_0\in\partial\Omega$?

Published on 18 Nov 2022 - 12:42

88

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Laplace - Beltrami eigen problem in 1D Riemannian manifold

Published on 24 Nov 2022 - 18:59

272

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Why does the n-th Sturm-Liouville eigenfunction have n-1 zeros?

Published on 05 Dec 2022 - 18:13

304

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Solving a nonlinear ODE

Published on 11 Dec 2022 - 19:11

149

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Having trouble understanding the solution of $\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}+\lambda y=0,$ $y(0)=y(1)=1$

Published on 28 Dec 2022 - 3:02

50

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Eigenfunction cannot have vanishing gradient along the boundary

Published on 28 Mar 2026 - 12:38

List Question

Is the following differential equation related to some familiar special functions?

Eigen values of a boundary value problem .

Orthogonality of eigenfunctions corresponding to an eigenvalue having multiplicity

Localization of ground state Schrödinger eigenfunction

Wave-equation on a horn

Eigenfunctions of the Laplacian under a change of coordinates

Pointwise convergence in a Sturm-Liouvlle problem.

Let $u$ be the first Dirichlet eigenfunction, does there exist $\epsilon,\delta>0$ such that $|\nabla u(x)|\geq\epsilon$ for any $x$ st $u(x)<\delta$

Laplacian Dirichlet eigenvalues on a given domain

How to compute $\partial^2_{n,n} u(x_0)$ for $x_0\in\partial\Omega$?

Laplace - Beltrami eigen problem in 1D Riemannian manifold

Why does the n-th Sturm-Liouville eigenfunction have n-1 zeros?

Solving a nonlinear ODE

Having trouble understanding the solution of $\frac{d^{2}y}{dx^{2}}+2\frac{dy}{dx}+\lambda y=0,$ $y(0)=y(1)=1$

Eigenfunction cannot have vanishing gradient along the boundary

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