Results 91 to 100 of about 14,741 (241)

Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Can tropical cyclones exist near the Equator?

Quarterly Journal of the Royal Meteorological Society, Volume 152, Issue 774, January 2026 Part A.
Schematic showing how a developed TC responds to reduced Coriolis parameter (f). Zero‐f lowers inertial stability and increases agradient force, enhancing radial inflow at lower levels. Stronger inflow deepens the inflow layer and promotes convergence, intensifying convection and downdrafts in outer rainbands.
Min Li, Ralf Toumi
wiley   +1 more source

Partial interior regularity for sub-elliptic systems with Dini continuous coefficients in Carnot groups: the sub-quadratic controllable case

Boundary Value Problems, 2017
We consider nonlinear sub-elliptic systems with Dini continuous coefficients for the case 1 < m < 2 $1 ...
Dongni Liao, Jialin Wang, Qiang Yang, Shimin Wu   +3 more
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Stability Theorems for H-Type Carnot Groups

The Journal of Geometric Analysis, 2023
We introduce the H-type deviation $δ({\mathbb G})$ of a step two Carnot group ${\mathbb G}$, which measures the deviation of the group from the class of Heisenberg-type groups. We show that $δ({\mathbb G})=0$ if and only if ${\mathbb G}$ carries a vertical metric which endows it with the structure of an H-type group. We compute the H-type deviation for
openaire   +3 more sources

Differential forms in Carnot groups: a variational approach

Bruno Pini Mathematical Analysis Seminar, 2011
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj  

Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study the following Schrödinger–Hardy system \begin{equation*} \begin{cases} -\Delta_{\mathbb{G}}u-\mu\frac{\psi^2}{r(\xi)^2}u=F_u(\xi,u,v)\ &{\rm in}\ \Omega, \\ -\Delta_{\mathbb{G}}v-\nu\frac{\psi^2 }{r(\xi)^2}v=F_v(\xi,u,v)\
Wenjing Chen, Fang Yu
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On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]

J Geom Anal, 2022
Antonelli G, Merlo A.
europepmc   +1 more source

Multiscale phytoplankton dynamics in a coastal system of the eastern English Channel: the Boulogne-sur-Mer coastal area [PDF]

Ocean Science
To study changes in phytoplankton community composition on different timescales, an automated flow cytometer (CytoSub, CytoBuoy b.v.) was deployed at the MAREL Carnot automated monitoring station in Boulogne-sur-Mer (eastern English Channel, France ...
K. Robache, Z. Hubert, C. Gallot, C. Gallot, A. Epinoux, A. P. Louchart, A. P. Louchart, J.-V. Facq, A. Lefebvre, M. Répécaud, V. Cornille, F. Verhaeghe, Y. Audinet, L. Brutier, F. G. Schmitt, L. F. Artigas   +15 more
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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
doaj  

High Order Fefferman-Phong Type Inequalities in Carnot Groups and Regularity for Degenerate Elliptic Operators plus a Potential

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
doaj   +1 more source