Results 31 to 40 of about 78,335 (160)

Concentration-compactness principle for generalized Moser-Trudinger inequalities: characterization of the non-compactness in the radial case [PDF]

, 2014
Let B(R)⊂Rn , n 2 , be an open ball. By a result from [1], the Moser functional with the borderline exponent from the Moser inequality fails to be sequentially weakly continuous on the set of radial functions from the unit ball in W 1,n 0 (B(R)) only in ...
Robert Černɓ
openalex   +2 more sources

Author Correction: On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications [PDF]

Fractional Calculus and Applied Analysis
Nabil Chems Eddine, Maria Alessandra Ragusa, Dušan Repovš   +2 more
openalex   +2 more sources

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

Concentration–Compactness principle for the sharp Adams inequalities in bounded domains and whole space Rn

Journal of Differential Equations, 2019
Van Hoang Nguyen
openalex   +2 more sources

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
doaj   +1 more source

More about the Concentration-Compactness Principle

, 2009
Jaime Angulo Pava
openalex   +2 more sources

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, Atika Matallah, Mohammed El Mokhtar Ould El Mokhtar, Khadija Sabri   +3 more
doaj   +1 more source

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

Solutions of stationary Kirchhoff equations involving nonlocal operators with critical nonlinearity in RN

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
doaj   +1 more source

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
doaj   +1 more source