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arxiv: 1306.3396 · v2 · pith:MDA3CB4Vnew · submitted 2013-06-14 · 🧮 math.AP

Symmetry minimizes the principal eigenvalue: an example for the Pucci's sup operator

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keywords eigenvalueprincipalpucciareaclassdomainsevaluateexample
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We explicitly evaluate the principal eigenvalue of the extremal Pucci's sup--operator for a class of special plane domains, and we prove that, for fixed area, the eigenvalue is minimal for the most symmetric set.

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