Results 1 to 10 of about 32,808 (291)

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 variable exponent spaces and applications [PDF]

Electronic Journal of Differential Equations, 2009
In this paper we extend the well-known concentration -- compactness principle of P.L. Lions to the variable exponent case.
Bonder, J. Fernandez, Silva, A.
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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
doaj   +5 more sources

On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces

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
doaj   +4 more sources

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
doaj   +2 more sources

Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application

Journal of Mathematics
We employ level-set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in R+2.
Yubo Ni
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Concentration-compactness results for systems in the Heisenberg group [PDF]

Opuscula Mathematica, 2020
In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
doaj   +1 more source

Homoclinic solutions for a class of asymptotically autonomous Hamiltonian systems with indefinite sign nonlinearities

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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Existence and multiplicity of solutions for critical Choquard-Kirchhoff type equations with variable growth

AIMS Mathematics, 2023
We prove the existence and multiplicity of solutions for a class of Choquard-Kirchhoff type equations with variable exponents and critical reaction.
Lulu Tao, Rui He, Sihua Liang, Rui Niu
doaj   +1 more source

Young measures in a nonlocal phase transition problem [PDF]

, 1997
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Ren, X, Winter, M
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