Recalling James Serrin

On the Stability of the Serrin Problem

Following a new approach to overdetermined problems we prove that Serrin’s result is stable under suitable perturbations of the boundary conditions, even without a priori estimates of the regularity of the domain.

Serrin Type Overdetermined Problems: an Alternative Proof

We prove the simmetry of solutions to overdetermined problems for a class of fully nonlinear equations, namely the Hessian equations. In case of Poisson equation, our proof is alternative to the ones proposed by Serrin (moving planes) and by Weinberger, and it makes no direct use of the maximum principle, while it enlightens a relation between Serrin problem and isoperimetric inequality.

Recalling a Witness

type ref t = id:N{witnessed (has_a_t id t)} let has (id:N) (H h _) = match h id with Used _ _ (Untyped _)→⊤ | _→⊥ abstract type uref = id:N{witnessed (has id)}type uref = id:N{witnessed (has id)} To enforce these invariants on state-manipulating operations, we define a preorder rel on heap, that constrains the heap evolution. It states that every Used identifier remains Used; every Typed refere...

Recalling communities of practice.

Recalling superior mesenteric artery syndrome.

BACKGROUND Superior mesenteric artery syndrome is uncommon and characterized by postprandial epigastric pain, nausea, vomiting, anorexia and weight loss. The syndrome is caused by compression of the third part of the duodenum in the angle between the aorta and the superior mesenteric artery. This review updates etiology, epidemiology, diagnosis, treatment and outcome of the superior mesenteric ...