Results 131 to 140 of about 4,030 (152)

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
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Concentration-compactness principle for an inequality by D.  Adams

Calculus of Variations and Partial Differential Equations, 2013
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do Ó., João Marcos, Macedo, Abiel Costa   +1 more
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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.
Ishiwata, Michinori, Ôtani, Mitsuharu
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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
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Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality

Calculus of Variations and Partial Differential Equations, 2014
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De Oliveira, José Francisco, Do Ó, João Marcos   +1 more
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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
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The concentration‐compactness principle and the asymptotic behavior for some degenerate parabolic equation

Asymptotic Analysis, 2003
In this paper we study the existence and asymptotic behavior of the global solutions of some degenerate parabolic equation with critical Sobolev exponent. In particular, we apply the concentration‐compactness principle of P.‐L. Lions to the study of the asymptotic behavior of global solutions with the initial value in “stable set”.
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The concentration-compactness principle in the calculus of variations. The locally compact case. I

1984
This paper presents a general method - called concentration-compactness method - for solving certain minimization problems on unbounded domains. This method applies to problems with some form of local compactness. For minimization problems with constraints, sub-additivity inequalities are obtained for the infimum of the problem considered as a function
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Concentration–compactness principle at infinity

1999
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The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem

Nonlinear Differential Equations and Applications, 2018
Julian Fernandez Bonder, Nicolas Saintier, Analía Silva   +2 more
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