Results 101 to 110 of about 14,219 (239)
On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]
J Geom Anal, 2022 Antonelli G, Merlo A.
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Rigidity of quasiconformal maps on Carnot groups [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2016 AbstractWe show that quasiconformal maps on many Carnot groups must be biLipschitz. In particular, this is the case for 2-step Carnot groups with reducible first layer. These results have implications for the rigidity of quasiisometries between negatively curved solvable Lie groups.
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Multiple solutions for possibly degenerate equations in divergence form
Electronic Journal of Differential Equations, 2016 Via variational methods, we establish the existence of at least two distinct weak solutions for the Dirichlet problem associated to a possibly degenerate equation in divergence form.
Andrea Pinamonti
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Representation formulas and Fatou-Kato theorems for heat operators on stratified groups [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2005 In this note, we provide a characterization of non-negative L-caloric functions on strips, where L is a sub-Laplacian on a stratified group. We prove representation results, Fatou-type and uniqueness theorems analogous to the classical Poisson Stieltjes ...
Andrea Bonfiglioli, Francesco Uguzzoni
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Abstract and Applied Analysis, 2014 Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
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Batteries &Supercaps, Volume 8, Issue 9, September 2025.Electricity storage is vital for the renewable energy transition, with lithium‐ion batteries (LIBs) as the leading technology. The LIB electrolyte composition determines their performance, lifespan, and charging capacity. Sensitive to water, LIB electrolytes require inert conditions for their analysis.
Julien Maillard +9 more
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Existence of infinitely many solutions for critical sub-elliptic systems via genus theory
Communications in Analysis and MechanicsWe are devoted to the study of the following sub-Laplacian system with Hardy-type potentials and critical nonlinearities $ \begin{equation*} \left\{\begin{aligned} -\Delta_{\mathbb{G}}u-\mu_{1}\frac{\psi^{2}u}{\text{d}(z)^{2}} = \lambda_{1}\frac{\psi^{
Hongying Jiao, Shuhai Zhu , Jinguo Zhang
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Mass Spectrometry Reviews, Volume 44, Issue 5, Page 808-829, September/October 2025.ABSTRACT Complex organic mixtures are found in many areas of research, such as energy, environment, health, planetology, and cultural heritage, to name but a few. However, due to their complex chemical composition, which holds an extensive potential of information at the molecular level, their molecular characterization is challenging.
Charlotte Mase +5 more
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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
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Molecular Ecology, Volume 34, Issue 17, September 2025.ABSTRACT The AquaEcOmics meeting brought together 280 scientists applying omics tools to aquatic research in March 2025 (Evian‐les‐Bains, France). We synthesised here the main outcomes from the 167 presentations which were given. A similar number of presentations were about micro‐ and macroorganisms.
Frédéric Rimet +17 more
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