Results 21 to 30 of about 229 (132)
Some Results on Subelliptic Equations [PDF]
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Ma, Li, Chen, De Zhong, Yang, Yang
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Sharp Hardy Identities and Inequalities on Carnot Groups
In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
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Existence of solution of sub-elliptic equations on the Heisenberg group with critical growth and double singularities [PDF]
For a class of sub-elliptic equations on Heisenberg group \(\mathbb{H}^N\) with Hardy type singularity and critical nonlinear growth, we prove the existence of least energy solutions by developing new techniques based on the Nehari constraint.
Jianqing Chen, Eugénio M. Rocha
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Trilobites of Thailand's Cambrian–Ordovician Tarutao Group and their geological setting
Abstract Tuff‐bearing upper Cambrian to lowermost Ordovician strata on Ko Tarutao island, Satun province, southernmost peninsular Thailand, contain a rich trilobite fauna relevant to global biostratigraphy, peri‐Gondwanan palaeogeography and shifting evolutionary mode.
Shelly J. Wernette +3 more
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Abstract Species identification and delimitation are particularly challenging for morphologically similar and geographically overlapping species, such as in the case of Western Palaearctic flea beetle species Psylliodes kiesenwetteri Kutschera, 1864 and Psylliodes ruffoi Leonardi, 1975.
Emanuele Berrilli +3 more
wiley +1 more source
An interpolation problem in the Denjoy–Carleman classes
Abstract Inspired by some iterative algorithms useful for proving the real analyticity (or the Gevrey regularity) of a solution of a linear partial differential equation with real‐analytic coefficients, we consider the following question. Given a smooth function defined on [a,b]⊂R$[a,b]\subset {\mathbb {R}}$ and given an increasing divergent sequence ...
Paolo Albano, Marco Mughetti
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Floral variation in the genera of Urgineoideae Abstract The taxonomy and systematics of Urgineoideae (Hyacinthaceae) have been controversial in recent decades, with contrasting taxonomic treatments proposed based on preliminary and partial studies that have focused on morphology and/or solely plastid DNA sequence data. Some authors have recognized only
Mario Martínez‐Azorín +8 more
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Local and non‐local Poincaré inequalities on Lie groups
Abstract We prove a local Lp$L^p$‐Poincaré inequality, 1⩽p<∞$1\leqslant p < \infty$, on non‐compact Lie groups endowed with a sub‐Riemannian structure. We show that the constant involved grows at most exponentially with respect to the radius of the ball, and that if the group is non‐doubling, then its growth is indeed, in general, exponential.
Tommaso Bruno +2 more
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The ant abdomen is critically understudied, despite its functional, evolutionary, and systematic importance. Using physical dissection, scanning electron microscope, histology, and microcomputed tomography, we provide the first complete treatment of the skeletomusculature, exocrine glands, and other major organs of the abdomen.
Ziv E. Lieberman +3 more
wiley +1 more source
A nondestructive method of calculating the wing area of insects
Forewing area was found to be proportional to the product of forewing length and width for each of three cicada species, which followed the Montgomery equation. The mixed dataset of the three cicada species also followed the Montgomery equation, which suggests that this equation can apply to the calculation of wing area for other insects with similar ...
Kexin Yu +6 more
wiley +1 more source

