4 citations · 4 across the 4 of their papers we have counts for
4 papers
Existence of an optimal domain for the buckling load of a clamped plate with prescribed volume
Kathrin Stollenwerk
We formulate the minimization of the buckling load of a clamped plate as a free boundary value problem with a penalization term for the volume constraint. As the penalization param…
On the optimal domain for minimizing the buckling load of a clamped plate
Kathrin Stollenwerk
We prove the existence of an optimal domain for minimizing the buckling load among all, possibly unbounded, open subsets of () with given measure. Our appro…
Existence of an optimal domain for minimizing the fundamental tone of a clamped plate of prescribed volume in arbitrary dimension
Kathrin Stollenwerk
In the 19th century, Lord Rayleigh conjectured that among all clamped plates with given area, the disk minimizes the fundamental tone. In the 1990s, N. S. Nadirashvili proved the c…
Optimal Shape of a Domain which minimizes the first Buckling Eigenvalue
Kathrin Stollenwerk
In this paper we prove the existence of an optimal domain which minimizes the buckling load of a clamped plate among all bounded domains with given measure. Instead of treating thi…