TY  - JOUR
ID  - Pucci2020
LB  - Pucci2020
AU  - Pucci, Patrizia
AU  - Temperini, Letizia
TI  - Concentration-compactness results for systems in the Heisenberg group
ST  - Concentration-compactness results for systems in the Heisenberg group
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 1
SP  - 151
EP  - 163
DO  - https://doi.org/10.7494/OpMath.2020.40.1.151
UR  - https://doi.org/10.7494/OpMath.2020.40.1.151
AB  - 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. 9 (2020), 895–922] on some variants of the concentration-compactness principle in bounded PS domains \(\Omega\) of the Heisenberg group \(\mathbb{H}^n\). 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.
KW  - Heisenberg group
KW  - concentration-compactness
KW  - critical exponents
KW  - Hardy terms
SN  - 1232-9274
ER  -