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Faber--Krahn inequality for homogeneous normalized $p$-Laplacian type operators
We establish a sharp Faber-Krahn inequality for the normalized (or game-theoretic) $p$-Laplacian, proving that, for $p\geq 2$, the ball uniquely minimizes the principal Dirichlet eigenvalue among bounded connected Lipschitz domains of prescribed volume satisfying a uniform exterior sphere condition.
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