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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 concentration–compactness principle for Orlicz spaces and applications

Mathematische Nachrichten
AbstractIn this paper, we extend the well‐known concentration–compactness principle of P.L. Lions to Orlicz spaces. As an application, we show an existence result to some critical elliptic problem with nonstandard growth.
JuliĂĄn FernĂĄndez Bonder, AnalĂ­a Silva
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Concentration-compactness principle at infinity and semilinear elliptic equations involving critical and subcritical Sobolev exponents

Calculus of Variations and Partial Differential Equations, 1995
We formulate the concentration-compactness principle at infinity for both subcritical and critical case. We show some applications to the existence theory of semilinear elliptic equations involving critical and subcritical Sobolev exponents.
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Concentration compactness principle at infinity with partial symmetry and its application

Nonlinear Analysis: Theory, Methods & Applications, 2002
Michinori Ishiwata, Mitsuharu Ôtani
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Concentration compactness principle and quasilinear elliptic equations in Rn

Communications in Partial Differential Equations, 1991
Marion Badiale, Citti Giovanna
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