Well-posedness in weighted Sobolev spaces for elliptic equations of Cordes typeCollectanea Mathematica - Tập 67 - Trang 539-554 - 2015
Loredana Caso, Roberta D’Ambrosio, Maria Transirico
In this paper we prove some weighted
$$W^{2,2}$$
-a priori bounds for a class of linear, elliptic, second-order, differential operators of Cordes type in certain weighted Sobolev spaces on unbounded open sets
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On the spectra of rings of semialgebraic functionsCollectanea Mathematica - Tập 63 - Trang 299-331 - 2011
José F. Fernando, J. M. Gamboa
In this article we study the most significant algebraic, topological and functorial properties of the Zariski and maximal spectra of rings of semialgebraic and bounded semialgebraic functions on a semialgebraic set.
Geometry of rays-positive manifoldsCollectanea Mathematica - - 2011
M. C. Beltrametti, A. L. Knutsen, A. Lanteri, C. Novelli
Let
$${\mathcal {M}}$$
be a smooth complex projective variety and let
$${\mathcal {L}}$$
be a line bundle on it. Rays-positive manifolds, namely pairs
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Characteristic polyhedra of singularities without completion: part IICollectanea Mathematica - Tập 72 - Trang 351-392 - 2020
Vincent Cossart, Bernd Schober
Hironaka’s characteristic polyhedron is an important combinatorial object reflecting the local nature of a singularity. We prove that it can be determined without passing to the completion if the local ring is a G-ring and if additionally either it is Henselian, or a certain polynomiality condition (Pol) holds, or a mild condition (*) on the singularity holds. For example, the latter is fulfilled ...... hiện toàn bộ