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

DOI10.4310/MRL.2014.v21.n5.a3zbMath1319.49065arXiv1306.3396MaRDI QIDQ2255331

Isabeau Birindelli, Fabiana Leoni

Publication date: 9 February 2015

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3396

zbMATH Keywords

symmetryprincipal eigenvalueprincipal eigenfunctionPucci's extremal operatorminimzation

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)

Related Items (3)

A family of degenerate elliptic operators: maximum principle and its consequences ⋮ Homogeneous solutions of extremal Pucci's equations in planar cones ⋮ Towards a reversed Faber-Krahn inequality for the truncated Laplacian

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