Results 141 to 150 of about 33,794 (182)

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
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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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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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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.
Xiping Zhu, Daomin Cao
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Concentration-compactness principles for Moser–Trudinger inequalities: new results and proofs

Annali di Matematica Pura ed Applicata, 2011
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Robert Cerny, CIANCHI, ANDREA, Stanislav Hencl   +2 more
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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 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 spaces and its application

Nonlinear Analysis: Theory, Methods & Applications, 2009
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