TY  - JOUR
ID  - Ma2026
LB  - Ma2026
AU  - Ma, Xueyan
AU  - Shi, Shaoyun
AU  - Song, Yueqiang
TI  - Existence of solutions for a doubly critical Schrödinger-Poisson system on the first Heisenberg group
ST  - Existence of solutions for a doubly critical Schrödinger-Poisson system on the first Heisenberg group
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2026
VL  - 46
IS  - 3
SP  - 347
EP  - 366
DO  - https://doi.org/10.7494/OpMath.202605211
UR  - https://doi.org/10.7494/OpMath.202605211
AB  - This work is devoted to the study of a class of Schrödinger-Poisson system with doubly critical growth on the first Heisenberg group. Utilizing the concentration-compactness principle associated with classical Sobolev space on the Heisenberg group and mountain pass theorem, we prove that the system admits multiple nontrivial solutions.
KW  - Heisenberg group
KW  - Schrödinger-Poisson system
KW  - concentration-compactness principle
KW  - mountain pass theorem
KW  - nontrivial solutions
SN  - 1232-9274
ER  -