Entire solutions for some critical equations 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;    entire solutions;    critical exponents.;   

DOI  :  10.7494/OpMath.2022.42.2.279

学科分类：环境科学（综合）

来源: AGH University of Science and Technology Press

【 摘 要 】

We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no. 007], giving some applications of its abstract results to get existence of solutions of certain critical equations in the entire Heinseberg group. In particular, different conditions for existence are given for critical horizontal \(p\)-Laplacian equations.

【 授权许可】

CC BY-NC