On relations between principal eigenvalue and torsional rigidity

DOI10.1142/S0219199720500935zbMath1479.49092arXiv1910.14593MaRDI QIDQ5016198

Aldo Pratelli, Giusseppe Buttazzo, Michiel van den Berg

Publication date: 13 December 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14593

zbMATH Keywords

principal eigenvalueshape optimizationconvex domainstorsional rigidity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)

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