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math.AP2013★ 3 cited
Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces
Romain Petrides
We investigate in this paper the existence of a metric which maximizes the first eigenvalue of the Laplacian on Riemannian surfaces. We first prove that, in a given conformal class…
math.AP2013
On a rigidity result for the first conformal eigenvalue of the Laplacian
Romain Petrides
Given a smooth compact Riemannian manifold without boundary of dimension , we consider the first conformal eigenvalue which is by definition the supremum of the fi…