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Lower Semicontinuity of Functionals via the Concentration-Compactness Principle

open access: yesJournal of Mathematical Analysis and Applications, 2001
It is proved that, if \(\Omega\) is a bounded open subset of \({\mathbb R}^N\) and ...
Eugenio Montefusco
exaly   +3 more sources

The Concentration–Compactness Principle for Orlicz Spaces and Applications

open access: yesMathematische 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.
Julián Fernández Bonder, Analia Silva
exaly   +5 more sources
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An improvement on the concentration-compactness principle

Acta Mathematicae Applicatae Sinica, 2001
The 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
openaire   +2 more sources

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
openaire   +2 more sources

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