Results 1 to 10 of about 65,671 (226)
The concentration-compactness principles for Ws,p(·,·)(ℝN) and application [PDF]
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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Generalized Concentration-Compactness Principles for Variable Exponent Lebesgue Spaces with Asymptotic Analysis of Low Energy Extremals [PDF]
Mathematics, 2020 In this paper, we prove two generalized concentration-compactness principles for variable exponent Lebesgue spaces and as an application study the asymptotic behaviour of low energy extremals.
Zia Bashir +3 more
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Concentration-compactness principles for Moser–Trudinger inequalities: new results and proofs [PDF]
Annali di Matematica Pura ed Applicata, 2011 We are concerned with the best exponent in Concentration-Compactness principles for the borderline case of the Sobolev inequality. We present a new approach, which both yields a rigorous proof of the relevant principle in the standard case when functions vanishing on the boundary are considered, and enables us to deal with functions with unrestricted ...
Robert Černý +2 more
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Concentration compactness principles for the systems of critical elliptic equations [PDF]
Differential Equations & Applications, 2012 In this paper, some important variants of the concentration compactness principle are established. By the variants, some kinds of the elliptic systems can be investigated and the existence of nontrivial solutions to the systems can be verified by the ...
Dongsheng Kang
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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 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 critical elliptic problem with nonstandard growth.
Julián Fernández Bonder, Analía Silva
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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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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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New results on the continuous Weinstein wavelet transform
Journal of Inequalities and Applications, 2017 We consider the continuous wavelet transform S h W $\mathcal{S}_{h}^{W}$ associated with the Weinstein operator. We introduce the notion of localization operators for S h W $\mathcal {S}_{h}^{W}$ .
Hatem Mejjaoli, Ahmedou Ould Ahmed Salem
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Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space
Potential Analysis, 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.
Dongliang Li, Maochun Zhu
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