6 citations · 9 across the 4 of their papers we have counts for
5 papers
Regularity Results for an Optimal Design Problem with lower order terms
Luca Esposito, Lorenzo Lamberti
We study the regularity of the interface for optimal energy configurations of functionals involving bulk energies with an additional perimeter penalization of the interface. It is…
On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded
Luca Esposito, Prosenjit Roy, Firoj Sk
We analyze the asymptotic behavior of the eigenvalues of nonlinear elliptic problems under Dirichlet boundary conditions and mixed (Dirichlet, Neumann) boundary conditions on domai…
The Neumann eigenvalue problem for the -Laplacian
L. Esposito, B. Kawohl, C. Nitsch +1
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the -Laplacian, suitable normalized, converges as goes to to a viscosity solution of an eig…
Best constants in Poincaré inequalities for convex domains
L. Esposito, C. Nitsch, C. Trombetti
We prove a Payne-Weinberger type inequality for the -Laplacian Neumann eigenvalues (). The inequality provides the sharp upper bound on convex domains, in terms of the d…
The longest shortest fence and sharp Poincaré-Sobolev inequalities
L. Esposito, V. Ferone, B. Kawohl +2
We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex sets of given area, prove that the disc, and only the disc maximizes the length…