Establishes an asymptotic connection between compressed clamped-plate eigenvalues and Robin-Laplacian eigenvalues, then numerically shows that extremal domains develop boundary structure and the first eigenfunction gains more nodal domains as compression grows.
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On the behaviour of clamped plates under large compression
Establishes an asymptotic connection between compressed clamped-plate eigenvalues and Robin-Laplacian eigenvalues, then numerically shows that extremal domains develop boundary structure and the first eigenfunction gains more nodal domains as compression grows.