Results 271 to 280 of about 121,934 (291)

Point-of-care testing of hyponatremia and hypernatremia levels: An optoplasmonic biosensing approach. [PDF]

PLoS One
Hoque AMT, Islam A, Haider F, Aoni RA, Ahmed R.   +4 more
europepmc   +1 more source

A Non-Invasive, Label-Free Method for Examining Tardigrade Anatomy Using Holotomography. [PDF]

Tomography
Hong MT, Lee G, Chang YT.
europepmc   +1 more source

A novel front in sustainable microbial management: computational analysis of curcumin and mangiferin's synergistic action against Bacillus anthracis. [PDF]

Front Microbiol
Perveen K, Bukhari NA, Alshaikh NA, Kondaveeti SB, Alsulami JA, Debnath S, Kumarasamy V.   +6 more
europepmc   +1 more source

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
  +5 more sources

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
openalex   +2 more sources

Concentration-compactness principles for Moser–Trudinger inequalities: new results and proofs [PDF]

Annali di Matematica Pura ed Applicata, 2011
We are concerned with the best exponent in Concentration-Compactness principles for the borderline case of the Sobolev inequality. We present a new approach, which both yields a rigorous proof of the relevant principle in the standard case when functions vanishing on the boundary are considered, and enables us to deal with functions with unrestricted ...
Robert Cerny, CIANCHI, ANDREA, Stanislav Hencl   +2 more
openaire   +2 more sources

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THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD

Acta Mathematica Scientia, 1990
Abstract In this paper, we are concerned with the eigenvalue problem of a semilinear elliptic equation. We use concentration-compactness principle and inverse power method to find some conditions in order that the non-radial solutions may exist for an equation with variable coefficients.
Yi Ding, Xiaxi Ding
openaire   +2 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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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
openaire   +2 more sources

Concentration–compactness principle at infinity

, 1999

openalex   +2 more sources