DSpace Community:http://www.openstarts.units.it:80/dspace/handle/10077/33142016-02-11T13:08:12Z2016-02-11T13:08:12ZRemarks on Dirichlet problems with sub linear growth at infinitySovrano, ElisaZanolin, Fabiohttp://www.openstarts.units.it:80/dspace/handle/10077/117982015-12-18T08:48:50Z2015-11-18T00:00:00ZTitle: Remarks on Dirichlet problems with sub linear growth at infinity
Authors: Sovrano, Elisa; Zanolin, Fabio
Abstract: We present some existence and multiplicity results for positive solutions to the Dirichlet problem associated with; under suitable conditions on the nonlinearity g(u)and thew eight function a(x): The assumptions considered are related to classical theorems about positive solutions to a sublinear elliptic equation due to Brezis-Oswald and Brown-Hess.
Type: Articolo2015-11-18T00:00:00ZDiscrete inequalities of Jensen type for λ-convex functions on linear spacesDragomir, Sever S.http://www.openstarts.units.it:80/dspace/handle/10077/117972015-12-18T08:20:49Z2015-01-01T00:00:00ZTitle: Discrete inequalities of Jensen type for λ-convex functions on linear spaces
Authors: Dragomir, Sever S.
Abstract: Some discrete inequalities of Jensen type for X-convex
functions defined on convex subsets in real or complex linear spaces are
given. Applications for norm inequalities are provided as well.
Type: Articolo2015-01-01T00:00:00ZGeneralizations of Steffensen's inequality via Fink's identity and related results IIPecaric, JosipPerusic Pribanic, AnamarijaVukelic, Anahttp://www.openstarts.units.it:80/dspace/handle/10077/117962015-12-18T08:33:56Z2015-01-01T00:00:00ZTitle: Generalizations of Steffensen's inequality via Fink's identity and related results II
Authors: Pecaric, Josip; Perusic Pribanic, Anamarija; Vukelic, Ana
Abstract: We use Fink's identity to obtain new identities related to generalizations of Steffensen's inequality. Ostrowski-type inequalities related to these generalizations are also given. Using inequalities for the Cebysev functional we obtain bounds for these identities. Further, we use these identities to obtain new generalizations of Steffensen's inequality for n-convex functions. Finally, we use the segeneralizations to construct a linear functional that generates exponentially convex functions.; We use Fink’s identity to obtain new identities related to
generalizations of Steffensen’s inequality. Ostrowski-type inequalities
related to these generalizations are also given. Using inequalities for
the Cebysev functional we obtain bounds for these identities. Further,
we use these identities to obtain new generalizations of Steffensen’s inequality for n-convex functions. Finally, we use these generalizations to
construct a linear functional that aenerates exvonentiallv convex functions.
Type: Articolo2015-01-01T00:00:00ZOrder 1 Congruences of Lines with smooth Fundamental SchemePeskine, Christianhttp://www.openstarts.units.it:80/dspace/handle/10077/112312015-12-18T08:44:59Z2015-01-01T00:00:00ZTitle: Order 1 Congruences of Lines with smooth Fundamental Scheme
Authors: Peskine, Christian
Abstract: In this note we present a notion of fundamental scheme for
Cohen-Macaulay, order I, irreducible congruences of lines. We show
that such a congruence is formed by the k-secant lines to its fundamental
scheme for a number k that we call the secant, index of the congruence.
if the fundamental scheme X is a smooth connected variety in FN, then
k = (N — l)/(c — 1) (where c is the codimension of X) and X comes
equipped with a special tangency divisor cut out by a virtual hypersurface of degree k — 2 (to be precise, linearly equivalent to a section by
an hypersurface of degree (k — 2) without being cut by one). This is
explained in the main theorem of this paper. This theorem is followed
by a complete classification of known locally Cohen-Macaulay order 1
congruences of lines with smooth fundamental scheme. To conclude we
remark that according to Zak’s classification of Severi Varieties and
Hartshome conjecture for low codimension varieties, this classification
is complete.
Type: Articolo2015-01-01T00:00:00Z