Faber-Krahn and Lieb-type inequalities for the composite membrane problem

DOI10.3934/cpaa.2019119zbMath1481.35296OpenAlexW2933235111MaRDI QIDQ2069898

Eugenio Vecchi, Giovanni Cupini

Publication date: 21 January 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019119

zbMATH Keywords

rearrangementFaber-Krahn inequalitycomposite membrane problemfirst Dirichlet eigenvalue of the LaplacianLieb inequality

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items

A Faber-Krahn inequality for mixed local and nonlocal operators ⋮ Symmetry and rigidity for the hinged composite plate problem ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions

Cites Work

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