2000 character limit reached
The Payne conjecture for Dirichlet and Buckling eigenvalues (2109.02561v2)
Published 6 Sep 2021 in math.AP, math-ph, math.DG, math.MP, and math.SP
Abstract: We prove the long-standing Payne conjecture that the $k{\text{th}}$ eigenvalue in the buckling problem for a clamped plate is not less than the ${k+1}{\text{st}}$ eigenvalue for the membrane of the same shape which is fixed on the boundary. Moreover, we show that the Payne conjecture is still true for $n$-dimensional case ($n\ge 2)$.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
