Results 21 to 30 of about 106,647 (165)

Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg Groups and existence of ground state solutions

open access: green, 2017
Let $$\mathbb {H}^{n}=\mathbb {C}^{n}\times \mathbb {R}$$Hn=Cn×R be the n-dimensional Heisenberg group, $$Q=2n+2$$Q=2n+2 be the homogeneous dimension of $$\mathbb {H}^{n}$$Hn. We extend the well-known concentration-compactness principle on finite domains
Jungang Li, Guozhen Lu, Maochun Zhu
openalex   +3 more sources

Concentration-compactness results for systems in the Heisenberg group [PDF]

open access: yesOpuscula 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

open access: yesElectronic 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

The Existence Result for a p-Kirchhoff-Type Problem Involving Critical Sobolev Exponent

open access: yesJournal 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
doaj   +1 more source

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