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An abstract version of the concentration compactness principle [PDF]

Revista Matemática Complutense, 2002
We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.We prove an abstract version of concentration compactness principle in Hilbert space and ...
Schindler, I., Tintarev, K.
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The concentration-compactness principle for variable exponent spaces and applications [PDF]

Electronic Journal of Differential Equations, 2009
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case.
Bonder, J. Fernandez, Silva, A.
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The concentration–compactness principle for Orlicz spaces and applications [PDF]

Mathematische Nachrichten
In 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 criticalelliptic problem with nonstandard growthFil: Fernandez Bonder, Julian. Universidad de
Fernandez Bonder, Julian, Silva, Analia
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The concentration-compactness principle for Orlicz spaces and applications

, 2021
In 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.Comment: 20 pages.
Bonder, Julián Fernández, Silva, Analía   +1 more
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The concentration-compactness principle for fractional Orlicz-Sobolev spaces

, 2023
In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution for a critical elliptic problem involving the fractional $g ...
Bahrouni, Sabri, Miyagaki, Olimpio
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On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications [PDF]

Fractional Calculus and Applied Analysis
We obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of ...
Eddine, N. Chems, Ragusa, M. A., Repovš, D. D.   +2 more
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A Remark on the Concentration Compactness Principle in Critical Dimension [PDF]

Communications on Pure and Applied Mathematics, 2021
AbstractWe prove some refinements of the concentration compactness principle for Sobolev space W1, n on a smooth compact Riemannian manifold of dimension n. As an application, we extend Aubin's theorem for functions on with zero first‐order moments of the area element to the higher‐order moments case.
openaire   +3 more sources

Degenerate elliptic inequalities with critical growth [PDF]

, 2007
This article is motivated by the fact that very little is known about variational inequalities of general principal differential operators with critical growth.The concentration compactness principle of P.L. Lions [P.L.
Fang, Ming
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Young measures in a nonlocal phase transition problem [PDF]

, 1997
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Ren, X, Winter, M
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Existence of solution to a critical equation with variable exponent [PDF]

, 2012
In this paper we study the existence problem for the $p(x)-$Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not ...
Bonder, Julián Fernández, Saintier, Nicolas, Silva, Analía   +2 more
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