C. Trombetti

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where E ranges among all sets of finite perimeter satisfying the constraint LN (E) = const., νE is the generalized inner normal to E and ∂∗E is the reduced boundary of E (see the definitions in Section 2). For an anisotropic function Γ, one of the first attempts to solve this problem is contained in a paper by G.Wulff [22] dating back to 1901. However, it(More)
AIM The purpose of the trial was to evaluate the efficacy of suprascapular nerve block (SSNB) to relieve the shoulder pain, ameliorate recovery after physiotherapy and reduce disability due to a rotator cuff tendinitis (RCT). A prospective, randomized, comparison cross over investigation was performed in the setting of a large inpatient rehabilitation unit(More)
Let be a smooth, convex, unbounded domain of R . Denote by 1( ) the …rst nontrivial Neumann eigenvalue of the Hermite operator in ; we prove that 1( ) 1. The result is sharp since equality sign is achieved when is a N -dimensional strip. Our estimate can be equivalently viewed as an optimal Poincaré-Wirtinger inequality for functions belonging to the(More)
∂Ω f ((φ0−γΩ(u))n)dH between BV (Ω) and BV (Ω)∩C1(Ω) is studied, where f : R → [0,+∞[ is convex, f∞ is its recession function, φ0 ∈ L1(∂Ω), and γΩ is the trace operator on ∂Ω. The occurrence of the phenomenon is first discussed by means of an example, and then completely characterized. Sufficient conditions implying the absence of the phenomenon are also(More)
− div ( |∇up|p−2∇up ) = f in Ω up = 0 on ∂Ω, where p > 1 and Ω is a bounded open set of R (N ≥ 2) with Lipschitz boundary. We analyze the case where Ω is a ball and the datum f is a non-negative radially decreasing function belonging to the Lorentz space LN,∞(Ω) and the case where the datum f belongs to the dual space W−1,∞(Ω). We are interested in finding(More)
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