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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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Concentration-compactness principles for Moser–Trudinger inequalities: new results and proofs

Annali di Matematica Pura ed Applicata, 2011
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Robert Cerny   +2 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 spaces and its application

Nonlinear Analysis: Theory, Methods & Applications, 2009
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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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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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An overview of precision oncology basket and umbrella trials for clinicians

Ca-A Cancer Journal for Clinicians, 2020
Kristian Thorlund, Edward J Mills
exaly  

New Developments of the Principle of Vinylogy as Applied to π-Extended Enolate-Type Donor Systems

Chemical Reviews, 2020
Claudio Curti   +2 more
exaly  

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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