Results 11 to 20 of about 4,030 (152)
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we obtain the multiplicity of homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign potentials. The concentration-compactness principle is applied to show the compactness. As a byproduct, we
Dong-Lun Wu
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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.
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The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent
Journal of Function Spaces, 2023 In this paper, by using the mountain pass theorem and the concentration compactness principle, we prove the existence of a positive solution for a p-Kirchhoff-type problem with critical Sobolev exponent.
Hayat Benchira +3 more
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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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An abstract version of the concentration compactness principle
Revista Matemática Complutense, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Schindler, I., Tintarev, K.
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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 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 principles for W s,p(·,·)(ℝ N ) and application [PDF]
Advances in Nonlinear Analysis, 2020 Abstract 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 with variable exponents, which is even new for constant exponent case.
Ky Ho, Yun-Ho Kim
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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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