We consider the uniqueness of the positive solution to a semilinear elliptic equation with Dirichlet boundary condition and the nonlinearity satisfying f (0) < 0 and having asymptotic sublinear growth rate. A similar idea is also applied to the nonexistence of a positive solution to a superlinear problem.
In recent years, requirements in terms of service-life of civil engineering structures have become more and more stringent, so that the focus of designers and owners is now set on structural durability. Foreseeing structural failures and repairing damaged structures at an early stage has become a major stake. This approach calls for an accurate knowledge of… (More)
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Cavum veli interpositi is an open CSF space in the roof of the third ventricle that surrounds the internal cerebral veins, and is a forward extension of the quadrigeminal plate cistern. To the best of our knowledge, spontaneous resolution of a cavum veli interpositi has not been reported in the literature to date. Interestingly, case reports of spontaneous… (More)