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Intravital mid-infrared biosensing by normalized spatial probing of self-referenced optothermal signals

Berger C, Puttfarcken B, Qiu J, Hauer I, Herr S, Jüstel D, Pleitez MA.   +6 more
europepmc   +1 more source

An abstract version of the concentration compactness principle

, 2002
In this paper the authors prove an abstract version of the well-known concentration compactness principle in Hilbert space. As an application they consider a class of elliptic problems on unbounded domains.
Schindler, Ian, Tintarev, Cyril
core   +7 more sources

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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
exaly   +2 more sources

Concentration compactness principle at infinity with partial symmetry and its application

Nonlinear Analysis: Theory, Methods & Applications, 2002
This paper presents a partial symmetry version of the ``concentration compactness principle'' at infinity. As an application the authors discuss some semilinear elliptic equations in infinite cylindrical domains with axial symmetry.
Michinori Ishiwata, Mitsuharu Otani
exaly   +3 more sources

The principle of concentration compactness in spaces and its application

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

A concentration-compactness principle at infinity and positive solutions of some quasilinear elliptic equations in unbounded domains [PDF]

Journal of Mathematical Analysis and Applications, 2005
In this paper, we formulate a concentration-compactness principle at infinity which extends a result introduced by J. Chabrowski [Calc. Var. Partial Differential Equations 3 (1995) 493–512].
Daiwen Huang
exaly   +2 more sources

An improvement on the concentration-compactness principle

Acta Mathematicae Applicatae Sinica, 2001
The authors improve the well-known Lions concentration-compactness lemma by showing that the vanishing is, in fact, a particular case of dichotomy. An application to a minimization problem with constraint is discussed.
Qiu, Xing, Hong, Yi, Shen, Yaotian
openaire   +2 more sources

A concentration–compactness principle for the singular Adams inequalities and applications

Complex Variables and Elliptic Equations
Van Hoang Nguyen
exaly   +2 more sources

THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD

Acta Mathematica Scientia, 1990
Summary: We are concerned with the eigenvalue problem of a semilinear elliptic equation. We use the concentration-compactness principle and the inverse power method to find some conditions in order that the non-radial solutions may exist for an equation with variable coefficients.
Ding, Xiaxi, Ding, Yi
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Concentration-Compactness Principle for Generalized Trudinger Inequalities

Zeitschrift für Analysis und ihre Anwendungen, 2011
Let \Omega\subset\mathbb R^n , n\geq 2 , be a bounded domain and let \alpha < n-1
Černý, Robert, Gurka, Petr, Hencl, Stanislav   +2 more
openaire   +1 more source