TY  - JOUR
ID  - Pucci2022
LB  - Pucci2022
AU  - Pucci, Patrizia
AU  - Temperini, Letizia
TI  - Entire solutions for some critical equations in the Heisenberg group
ST  - Entire solutions for some critical equations in the Heisenberg group
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2022
VL  - 42
IS  - 2
SP  - 279
EP  - 303
DO  - https://doi.org/10.7494/OpMath.2022.42.2.279
UR  - https://doi.org/10.7494/OpMath.2022.42.2.279
AB  - 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.
KW  - Heisenberg group
KW  - entire solutions
KW  - critical exponents
SN  - 1232-9274
ER  -