Results 21 to 30 of about 3,531,413 (264)
The concentration-compactness principle for fractional Orlicz-Sobolev spaces [PDF]
, 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 ...
Miyagaki, Olimpio, Bahrouni, Sabri
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Existence and Symmetry of Solutions for a Class of Fractional Schrödinger–Poisson Systems
Mathematics, 2021 In this paper, we investigate a class of Schrödinger–Poisson systems with critical growth. By the principle of concentration compactness and variational methods, we prove that the system has radially symmetric solutions, which improve the related results
Yongzhen Yun, Tianqing An, Guoju Ye
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Nonlinear Analysis, 2017 In this paper, we consider the existence and multiplicity of solutions for fractional Schrödinger equations with critical nonlinearity in RN. We use the fractional version of Lions' second concentration-compactness principle and concentration-compactness
Ziwei Piao, Chenxing Zhou, Sihua Liang
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Existence of Solutions for p-Kirchhoff Problem of Brézis-Nirenberg Type with Singular Terms
Journal of Function Spaces, 2022 In this paper, we prove the existence of positive solution for a p-Kirchhoff problem of Brézis-Nirenberg type with singular terms, nonlocal term, and the Caffarelli-Kohn-Nirenberg exponent by using variational methods, concentration compactness, and ...
Atika Matallah +2 more
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The concentration-compactness principles for W s,p(·,·)(ℝ N ) and application
Advances in Nonlinear Analysis, 2020 Résumé Nous obtenons un enrobage critique puis des principes de concentration-compacité pour des espaces de Sobolev fractionnaires à exposants variables. Comme une application de ces résultats, nous obtenons l'existence de nombreuses solutions pour une classe de problèmes non locaux critiques avec des exposants variables, ce qui est même nouveau pour ...
Ky Ho, Yun-Ho Kim
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Strongly interacting bumps for the schrodinger-newton equations [PDF]
, 2009 We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states.
Winter, M, Wei, J
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Existence of solutions for critical systems with variable exponents
Mathematical Modelling and Analysis, 2018 In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.
Hadjira Lalilia, Saadia Tas, Ali Djellit
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The concentration-compactness principle for variable exponent spaces and applications
Electronic Journal of Differential Equations, 2009 In this article, we extend the well-known concentration - compactness principle by Lions to the variable exponent case. We also give some applications to the existence problem for the p(x)-Laplacian with critical growth.
Fernandez Bonder, Julian, Silva, Analia
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The concentration-compactness principle for Orlicz spaces and applications [PDF]
, 2023 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: In this revision we have ...
Bonder, Julián Fernández +1 more
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A concentration-compactness principle for perturbed isoperimetric problems with general assumptions [PDF]
Derived from the concentration-compactness principle, the concept of generalized minimizer can be used to define generalized solutions of variational problems which may have components ``infinitely'' distant from each other. In this article and under mild assumptions we establish existence and density estimates of generalized minimizers of perturbed ...
Candau-Tilh, Jules
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