75 citations · 97 across the 11 of their papers we have counts for
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math.SP2010
A Generalization of a Levitin and Parnovski Universal Inequality for Eigenvalues
Said Ilias, Makhoul Ola
In this paper, we derive "universal" inequalities for the sums of eigenvalues of the Hodge de Rham Laplacian on Euclidean closed Submanifolds and of eigenvalues of the Kohn Laplaci…
math.SP2010
Universal inequalities for the eigenvalues of a power of the Laplace operator
Said Ilias, Ola Makhoul
In this paper, we obtain a new abstract formula relating eigenvalues of a self-adjoint operator to two families of symmetric and skew-symmetric operators and their commutators. Thi…
math.SP2010
"Universal" inequalities for the eigenvalues of the biharmonic operator
Said Ilias, Ola Makhoul
In this paper, we establish universal inequalities for eigenvalues of the clamped plate problem on compact submanifolds of Euclidean spaces, of spheres and of real, complex and qua…