17 citations · 26 across the 11 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.AP2022
Maximizing one Laplace eigenvalue on n-dimensional manifolds
Romain Petrides
We prove existence and regularity results for the problem of maximization of one Laplace eigenvalue with respect to metrics of same volume lying in a conformal class of a Riemannia…
math.AP2022
A variational method for functionals depending on eigenvalues
Romain Petrides
We perform a systematic variational method for functionals depending on eigenvalues of Riemannian manifolds. It is based on a new concept of Palais Smale sequences that can be cons…