2 papers
math.SP2024
On multiplicity bounds for eigenvalues of the clamped round plate
Dan Mangoubi, Daniel Rosenblatt
We ask whether the only multiplicities in the spectrum of the clamped round plate are trivial, i.e., whether all existing multiplicities are due to the isometries of the sphere, or…
math.AP2024
Regularity of Finite Energy Deformations
Daniel Rosenblatt
We review results of {Š}verák, and Goldstein-Hajłasz-Pakzad on how to show the continuity of functions in a critical Sobolev space with positive Jacobian. In the final chapter we e…