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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
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An improvement on the concentration-compactness principle
Acta Mathematicae Applicatae Sinica, 2001The 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, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
do Ó., João Marcos +1 more
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THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD
Acta Mathematica Scientia, 1990Summary: 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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A concentration–compactness principle for the singular Adams inequalities and applications
Complex Variables and Elliptic EquationsVan Hoang Nguyen
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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 [PDF]
In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the
Julian Fernández Bonder +2 more
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The principle of concentration compactness in 𝒟1,p
International Journal of MathematicsIn 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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