D. Bucur

activity

20092026

most citedLipschitz regularity of the eigenfunctions on optimal domains

37 citations · 81 across the 34 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.OC2009

On the characterization of the compact embedding of Sobolev spaces

D. Bucur, G. Buttazzo

For every positive regular Borel measure, possibly infinite valued, vanishing on all sets of $p$ -capacity zero, we characterize the compactness of the embedding $W^{1,p}({\bf R}^N)…

math.AP2009

Minimization of $λ_{2} (Ω)$ with a perimeter constraint

Dorin Bucur, Giuseppe Buttazzo, Antoine Henrot

We study the problem of minimizing the second Dirichlet eigenvalue for the Laplacian operator among sets of given perimeter. In two dimensions, we prove that the optimum exists, is…

On the characterization of the compact embedding of Sobolev spaces

Minimization of λ2​(Ω) with a perimeter constraint

Minimization of $λ_{2} (Ω)$ with a perimeter constraint