Results 71 to 80 of about 5,405,878 (192)
Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups
Advances in Nonlinear Analysis, 2018 Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
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W2,p a priori estimates for nonvariational operators: the sharp maximal function technique
Bruno Pini Mathematical Analysis Seminar, 2018 We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
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MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2015 In this article, we investigate the pointwise behaviors of functions on the Heisenberg group. We find wavelet characterizations for the global and local Hölder exponents. Then we prove some a priori upper bounds for the multifractal spectrum of all functions in a given Hölder, Sobolev, or Besov space. These upper bounds turn out to be optimal, since in
Seuret, S., Vigneron, F.
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Analysis and Geometry in Metric Spaces, 2013 In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca +2 more
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Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
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Bruno Pini Mathematical Analysis Seminar, 2019 Maximum Principles on unbounded domains play a crucial role in several problems related to linear second-order PDEs of elliptic and parabolic type. In the present notes, based on a joint work with prof. E.
Stefano Biagi
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Yamabe-Type Equations on Carnot Groups
Potential Analysis, 2016 This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain $D$ of the {Heisenberg group}
Molica Bisci G, Repovs D
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Morrey-Campanato Functional Spaces for Carnot Groups
, 2023 We shortly review the historical path of Morrey-Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey-Campanato spaces in the framework ...
Cangiotti, Nicolò, Capolli, Marco
core
Quasilinear elliptic equations with critical potentials
Advances in Nonlinear Analysis, 2017 We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Angewandte Chemie, Volume 138, Issue 34, 17 August 2026.A robust and efficient method to access diversely functionalized fluorinated piperidines was developed. The approach features the hydrogenation of polysubstituted pyridines bearing CF3, CF2H, and CF2CO2Et substituents using an inexpensive, readily available heterogeneous Pd/C catalyst under air‐ and moisture‐tolerant conditions, offering an appealing ...
Thibaud Charvillat +7 more
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