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THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD
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.
丁夏畦, 丁毅
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Concentration-compactness principle for an inequality by D. Adams
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João Marcos do Ó, Abiel Costa Macedo
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Lower Semicontinuity of Functionals via the Concentration-Compactness Principle
It is proved that, if \(\Omega\) is a bounded open subset of \({\mathbb R}^N\) and ...
Eugenio Montefusco
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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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The principle of concentration compactness in spaces and its application
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Yongqiang Fu
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THE CONCENTRATION-COMPACTNESS PRINCIPLE IN NONLINEAR ELLIPTIC EQUATIONS
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.
Xi-Ping Zhu, Daomin Cao
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The principle of concentration compactness in 𝒟1,p
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 principles for Moser–Trudinger inequalities: new results and proofs
Annali di Matematica Pura ed Applicata, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert Cerny +2 more
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A concentration–compactness principle for the singular Adams inequalities and applications
Van Hoang Nguyen
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Concentration compactness principle at infinity with partial symmetry and its application
Nonlinear Analysis: Theory, Methods & Applications, 2002This 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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