 p-energy

ID: p-energy

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

The p-energy of a Sobolev function is

E_{p} [u] = \frac{1}{p} \int_{Ω} ∣ D u ∣^{p} d x .

Its stationary points under fixed boundary data are weak solutions of the p-Laplacian equation.

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