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 Orlicz spaces and applications [PDF]
Mathematische Nachrichten, 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 criticalelliptic problem with nonstandard growthFil: Fernandez Bonder, Julian. Universidad de
Fernandez Bonder, Julian, Silva, Analia
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Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space [PDF]
Advanced Nonlinear Studies, 2022 The concentration-compactness principle of Lions type in Euclidean space relies on the Pólya-Szegö inequality, which is not available in non-Euclidean settings.
Li Dongliang, Zhu Maochun
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Mathematics in Engineering, 2023 In this paper we establish some variants of the celebrated concentration–compactness principle of Lions – CC principle briefly – in the classical and fractional Folland–Stein spaces.
Patrizia Pucci , Letizia Temperini
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The concentration-compactness principle for fractional Orlicz-Sobolev spaces
Complex Variables and Elliptic Equations, 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 AnalysisWe 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 +2 more
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Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument [PDF]
Advanced Nonlinear Studies, 2021 The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument.
Li Jungang, Lu Guozhen, Zhu Maochun
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A Remark on the Concentration Compactness Principle in Critical Dimension [PDF]
Communications on Pure and Applied Mathematics, 2020 We 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 Sn with zero first‐order moments of the ...
Fengbo Hang
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Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals [PDF]
SIAM Journal on Mathematical Analysis, 2001 Energy-Casimir functionals are a useful tool for the construction of steady states and the analysis of their nonlinear stability properties for a variety of conservative systems in mathematical physics. Recently, Y.
G. Rein
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The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2018 In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the
Julián Fernández Bonder +2 more
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