Results 201 to 210 of about 27,463 (215)

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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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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The principle of concentration compactness in spaces and its application

Nonlinear Analysis: Theory, Methods & Applications, 2009
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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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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, Do Ó, João Marcos   +1 more
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An abstract version of the concentration compactness principle

2002
In this paper the authors prove an abstract version of the well-known concentration compactness principle in Hilbert space. As an application they consider a class of elliptic problems on unbounded domains.
Schindler, Ian, Tintarev, Cyril
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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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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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Concentration–compactness principle at infinity

1999
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