An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators.

We prove that each Borel function defined on an open subset induces a decomposition such that every function in is zero almost everywhere on and existence of nonnegative supersolutions of on each component yields nonnegativity of the associated quadratic form .

Regularity results and asymptotic behavior for a noncoercive parabolic problem.

In this paper we study the regularity and the behavior in time of the solutions to a quasilinear class of noncoercive problems whose prototype is In particular we show that under suitable conditions on the vector field , even if the problem is noncoercive and although the initial datum is only an function, there exist solutions that immediately improve their regularity and belong to every Lebesgue space. We also prove that solutions may become immediately bounded. Finally, we study the behavior in time of such regular solutions and we prove estimates that allow to describe their blow-up for near zero.

Complex humeral head fractures treated with blocked threaded wires: maintenance of the reduction and clinical results with two different fixation constructs.

Background: Locking plates are the gold standard for treatment of 3-part humeral head fractures, although major complications range from 9% to 36%. Percutaneous techniques may allow vascular supply preservation, maintenance of fracture hematoma, scarce blood loss. Many configurations with Kirschner wires can be performed, generating confusion on result interpretation.