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math.AP2013
Characterization of ellipsoids through an overdetermined boundary value problem of Monge-Ampère type
Barbara Brandolini, Nunzia Gavitone, Carlo Nitsch +1
The study of the optimal constant in an Hessian-type Sobolev inequality leads to a fully nonlinear boundary value problem, overdetermined with non standard boundary conditions. We…
math.AP2013★ 1 cited
Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems
B. Brandolini, F. Chiacchio, C. Trombetti
In this paper we prove a sharp lower bound for the first nontrivial Neumann eigenvalue for the -Laplace operator in a Lipschitz, bounded domain in . Our estim…