1,720,986 research outputs found
Multiple positive solutions for a slightly subcritical Choquard problem on bounded domains
Full text linkIn this paper we study a slightly subcritical Choquard problem on a bounded domain A. We prove that the number of positive solutions depends on the topology of the domain. In particular when the exponent of the nonlinearity approaches the critical one, we show the existence of cat (A) + 1 solutions. Here cat (A) denotes the Lusternik–Schnirelmann category
Compactness for conformal scalar-flat metrics on umbilic boundary manifolds
Full text linkLet (M,g) a compact Riemannian n-dimensional manifold with umbilic boundary. It is well known that, under certain hypothesis, in the conformal class of g there are scalar-flat metrics that have the boundary of M as a constant mean curvature hypersurface. In this paper we prove that these metrics are a compact set, provided n=8 and the Weyl tensor of the boundary is always different from zero, or if n>8 and the Weyl tensor of M is always different from zero on the boundary
Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary
Full text linkGiven a compact Riemannian manifold with umbilic boundary, the Yamabe boundary problem studies if there exist conformal scalar- at metrics such that the boundary of M has constant mean curvature. In this paper we address to the stability of this problem with respect of perturbation of mean curvature of the boundary and scalar curvature of the manifold. In particular we prove that the Yamabe boundary problem is stable under perturbation of the mean curvature and the scalar curvature from below, while it is not stable if one of the two curvatures is perturbed from above
YAMABE BOUNDARY PROBLEM WITH SCALAR-FLAT MANIFOLDS TARGET
No full textWe present a survey on the compactness of the set of solutions for the Yamabe problem on manifolds with boundary. The stability of the problem is also discussed
On the stability of standing waves of Klein-Gordon equations in a semi-classical regime
No full textWe investigate the orbital stability and instability of standing waves for two classes of Klein-Gordon equations in the semi-classical regime
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
Full text linkThis paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the convolution type nonlinearity tends to the fractional critical one in the sense of Hardy–Littlewood–Sobolev inequality, we obtain the existence of multiple positive solutions via Lusternik–Schnirelmann category and nonlocal global compactness. Moreover, we prove that the topology of the domain furnishes a lower bound for the number of positive solutions
Neutropenia cronica idiopatica. Un metodo citofluorimetrico per la ricerca degli anticorpi anti-neutrofilo
No full textChronic idiopathic neutropenia. A cytofluorimetric method to detect antineutrophil antibodies
No full textA cytofluorimetric method to detect antineutrophil antibodies was carried out in sixty adults suffering from chronic idiopathic neutropenia (5 patients with severe neutropenia, 16 with moderate neutropenia, 39 with mild neutropenia). Both the direct and the indirect tests were carried out using F(ab')2 goat anti-human FITC-conjugates immunoglobulins on whole blood samples. Fifteen patients (25%) were found to have antineutrophil antibodies both on the neutrophil surface and in serum. Most positive patients were suffering from severe neutropenia (4 patients) and moderate neutropenia (8 patients). Only four positive patients were suffering from infections
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