Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals [PDF]
SIAM Journal on Mathematical Analysis, 2001 23 ...
Gerhard Rein
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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.
Fengbo Hang
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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 $g-$Laplacian.
Sabri Bahrouni, Olı́mpio H. Miyagaki
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Lower Semicontinuity of Functionals via the Concentration-Compactness Principle
Journal of Mathematical Analysis and Applications, 2001 It is proved that, if \(\Omega\) is a bounded open subset of \({\mathbb R}^N\) and ...
Eugenio Montefusco
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Concentration-compactness principle for mountain pass problems
, 2005 In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on $\R^N$ converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition $F_\infty(s)
Kyril Tintarev
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The concentration-compactness principle for Orlicz spaces and applications
, 2021 In this revision we have modified and extended our application to the solvability of critical-type elliptic ...
Julián Fernández Bonder, Analía Silva
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Note on the concentration-compactness principle for generalized Moser-Trudinger inequalities
Open Mathematics, 2012 Abstract Let Ω ⊂ ℝn, n ≥ 2, be a bounded domain and let α < n − 1. Motivated by Theorem I.6 and Remark I.18 of [Lions P.-L., The concentration-compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana, 1985, 1(1), 145–201] and by the results of [Černý R., Cianchi A., Hencl S., Concentration ...
Černý Robert
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Concentration-compactness principle for embedding into multiple exponential spaces on unbounded domains [PDF]
Czechoslovak Mathematical Journal, 2015 Let Ω ⊂ ℝ n be a domain and let α < n − 1. We prove the Concentration-Compactness Principle for the embedding of the space W 0 1 L n log α
Robert Černý
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The Concentration-Compactness Principle in the Calculus of Variations. The limit case, Part 1
Revista Matemática Iberoamericana, 1985 After the study made in the locally compact case for variational problems with some translation invariance, we investigate here the variational problems (with constraints) for example in \mathbb R^N where the invariance of \mathbb R^N
Pierre‐Louis Lions
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The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1984 In this paper (sequel of Part 1) we investigate further applications of the concentration-compactness principle to the solution of various minimization problems in unbounded domains. In particular we present here the solution of minimization problems associated with nonlinear field equations.
Pierre‐Louis Lions
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