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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   +1 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 for Trudinger–Moser inequalities with logarithmic weights and their applications

Nonlinear Analysis, 2020
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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   +1 more
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Tightness-concentration principles and compactness for evolution problems in Banach space

2003
Compactness in the space L^p (0, T ; B), B being a separable Banach space, has been deeply investigated by J.P. Aubin (1963), J.L. Lions (1961,1969), J. Simon (1987), and, more recently, by J.M. Rakotoson and R. Temam (2001), who have provided various criteria for relative compactness, which turn out to be crucial tools in the existence proof of ...
Rossi Riccarda, SAVARE', GIUSEPPE
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The Concentration-Compactness Principle for the Fractional Laplacian on Lattice Graphs

Bulletin of the Malaysian Mathematical Sciences Society
Lidan Wang, Yanhua Zhao
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