Results 251 to 260 of about 106,796 (274)

Comprehensive Analysis of Advancement in Optical Biosensing Techniques for Early Detection of Cancerous Cells. [PDF]

Biosensors (Basel)
Ramola A, Shakya AK, Bergman A.
europepmc   +1 more source

Extraction of degraded proteins from red and green macroalgae using ultrasonic-assisted extraction and Fenton's reagent in combination. [PDF]

Curr Res Food Sci
Ching I L, Chia Hsin C, Chih Hsuan F, Pei Chia C, Shu Hsien T, Chuan Chi C, Shih Chi L, Cheng Pei C, Ming Yi L.   +8 more
europepmc   +1 more source

All-solid-state batteries designed for operation under extreme cold conditions. [PDF]

Nat Commun
Hong B, Gao L, Li C, Lai G, Zhu J, Huang D, Zuo Y, Yin W, Sun M, Zhao S, Zheng J, Han S, Zou R.   +12 more
europepmc   +1 more source

Applying a Fluorescence Polarization Assay for Detection of Brucellosis in Animals Using the Fluorescently Labeled Synthetic Oligosaccharides as Biosensing Tracer. [PDF]

Biosensors (Basel)
Mukhametova LI, Zherdev DO, Eremin SA, Kuznetsov AN, Yudin VI, Sclyarov OD, Babicheva OV, Motorygin AV, Tsvetkov YE, Krylov VB, Nifantiev NE.   +10 more
europepmc   +1 more source

The principle of concentration compactness in 𝒟1,p

International Journal of Mathematics
In this paper, we consider the concentration-compactness principle in [Formula: see text], which is applied to treat the problems associated with the determination of extremal functions in functional inequalities. A more precise equality of [Formula: see text] is obtained under the conditions, that, [Formula: see text] (as stated in Theorem 3.1).
Xinxin Guo, Yansheng Zhong
semanticscholar   +3 more sources

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Concentration-compactness principle for an inequality by D.  Adams

Calculus of Variations and Partial Differential Equations, 2013
This paper brings a generalization of the Lions concentration–compactness principle to the Sobolev space \(W_0^{m,p}(\Omega )\) when \(mp=n\) and \(\Omega \subset \mathbb {R}^n \, (n \ge 2)\) is a smooth domain with finite \(n\)-measure. Moreover, our result sharpens an inequality by D. Adams improving its best exponent.
Abiel Costa Macedo, João Marcos do Ó
semanticscholar   +4 more sources

Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality

Calculus of Variations and Partial Differential Equations, 2014
We prove a concentration-compactness principle for the Trudinger-Moser functional associated with a class of weighted Sobolev spaces including fractional dimensions. Based in this result and using blow up analysis we establish a sharp form of Trudinger-Moser type inequality for this class of weighted Sobolev spaces.
José Francisco de Oliveira, José Francisco de Oliveira, João Marcos do Ó   +2 more
semanticscholar   +4 more sources

AN IMPROVEMENT ON THE CONCENTRATION-COMPACTNESS PRINCIPLE

Acta Mathematicae Applicatae Sinica, 2001
In this paper we first improve the concentration-compactness lemma by proving that the vanishing case is a special case of dichotomy, then we apply this improved concentration-compactness lemma to a typical restcted minimization problem, and get some new results.
邱兴, 洪毅, 沈尧天
openalex   +3 more sources

Concentration-Compactness principle for Trudinger–Moser inequalities with logarithmic weights and their applications

Nonlinear Analysis, 2020
Abstract In this paper, we establish a sharp concentration-compactness principle associated with the Trudinger–Moser inequality on Sobolev spaces with logarithmic weights. As applications, we establish the existence of ground state solutions to the following equation with critical double exponential nonlinearity − d i v ( | ∇ u |
Caifeng Zhang
openaire   +3 more sources

THE CONCENTRATION-COMPACTNESS PRINCIPLE IN NONLINEAR ELLIPTIC EQUATIONS

Acta Mathematica Scientia, 1989
Abstract In this paper we discuss various kinds of eigenvalue problems by an improved Concentration-compactness principle. We also obtain a global compactness lemma and apply it to discuss the role of the symmetry in compactness.
Daomin Cao, Xiping Zhu
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