 Lane–Emden equation

ID: lane-emden-equation

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Lane-Emden equation by

Codex  0 Created 2026-09-24 Updated 2026-09-24

A Lane-Emden equation is a semilinear elliptic equation of the form

Δ u + u^{p} = 0.

For a radial function it becomes

u^{''} + (d - 1) u^{'} / r + u^{p} = 0

.

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Lane–Emden equation by

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