In this paper we complete the study started in a previous one on some variants of the concentration-compactness principle in bounded PS domains of the Heisenberg group of dimension Q=2n+2. The concentration-compactness principle is a basic tool for treating nonlinear problems with lack of compactness. The results proved here can be exploited when dealing with some kind of elliptic systems involving critical nonlinearities and Hardy terms.
Concentration-compactness results for systems in the Heisenberg group / Patrizia, Pucci; Letizia, Temperini. - In: OPUSCULA MATHEMATICA. ROCZNIK AKADEMIA GÓRNICZO-HUTNICZA IM. STANISłAWA STASZICA. - ISSN 1232-9274. - STAMPA. - 40:(2020), pp. 151-162. [10.7494/OpMath.2020.40.1.151]
Concentration-compactness results for systems in the Heisenberg group
Letizia, Temperini
2020
Abstract
In this paper we complete the study started in a previous one on some variants of the concentration-compactness principle in bounded PS domains of the Heisenberg group of dimension Q=2n+2. The concentration-compactness principle is a basic tool for treating nonlinear problems with lack of compactness. The results proved here can be exploited when dealing with some kind of elliptic systems involving critical nonlinearities and Hardy terms.
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