Concentration-compactness results for systems in the Heisenberg group

Opuscula Mathematica

article

Patrizia Pucci (corresponding author)¹  Letizia Temperini² 

[1] Dipartimento di Matematica e Informatica, Università degli Studi di Perugia;Dipartimento di Matematica e Informatica "Ulisse Dini", Università degli Studi di Firenze

关键词: Heisenberg group;    concentration-compactness;    critical exponents;    Hardy terms.;   

DOI  :  10.7494/OpMath.2020.40.1.151

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

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.

【 授权许可】

CC BY-NC