Benzochalcogenodiazoles, Synthesis, and Applications in Medicinal Chemistry and Photomedicine
European Journal of Organic Chemistry, Volume 28, Issue 23, June 23, 2025.Benzochalcogenodiazoles (BXD) including benzoxadiazoles, benzothiadiazoles, and benzoselenadiazoles are initially mainly designed for optoelectronic materials as electron‐deficient cores. Nevertheless, they are now extending their application to biology.
Jean‐Elie Zheng +2 more
wiley +1 more source
Double ball property: an overview and the case of step two Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2012 We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov ...
Giulio Tralli
doaj
Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
Electronic Journal of Differential Equations, 2016 In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
doaj
Hausdorff measure of the singular set of quasiregular maps on Carnot groups [PDF]
, 2003 Irina Markina
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c horizontal convexity on Carnot groups
, 2010 Given a real-valued function $c$ defined on the cartesian product of a generic Carnot group $\G$ and the first layer $V_1$ of its Lie algebra, we introduce a notion of $c$ horizontal convex ($c$ H-convex) function on $\G$ as the supremum of a suitable family of affine functions; this family is defined pointwisely, and depends strictly on the horizontal
CALOGERO, ANDREA GIOVANNI, PINI, RITA
openaire +3 more sources
Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2010 Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.
Francesco Paolo Montefalcone
doaj
Équations différentielles stochastiques conduites par des lacets dans les groupes de Carnot [PDF]
, 2004 Fabrice Baudoin
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The p-Laplace equation in a class of Hormander vector fields
Electronic Journal of Differential Equations, 2019 We find the fundamental solution to the p-Laplace equation in a class of Hormander vector fields that generate neither a Carnot group nor a Grushin-type space. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding
Thomas Bieske, Robert D. Freeman
doaj
Performance of plant-produced RBDs as SARS-CoV-2 diagnostic reagents: a tale of two plant platforms
Frontiers in Plant ScienceThe COVID-19 pandemic has underscored the need for rapid and cost-effective diagnostic tools. Serological tests, particularly those measuring antibodies targeting the receptor-binding domain (RBD) of the virus, play a pivotal role in tracking infection ...
Mattia Santoni +14 more
doaj +1 more source
Comparison Principles for subelliptic equations of Monge-Ampere type
, 2008 We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equations associated to a family of vector fields. In particular, we obtain the uniqueness of a viscosity solution to the Dirichlet problem for the equation ...
Bardi, Martino, Mannucci, Paola
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