Multiplicity of solutions for a class of critical Schrödinger-Poisson systems on the Heisenberg group

• Published in: Open mathematics (Warsaw, Poland) Vol. 21; no. 1; pp. 262 - 279
• Main Authors: Li, Shiqi, Song, Yueqiang
• Format: Journal Article
• Language: English
• Published: Warsaw De Gruyter 13.09.2023; De Gruyter Poland
• Subjects: 35J20; 35R03; 46E35; concentration compactness principles; Heisenberg group; limit index; Schrödinger-Poisson-type system; variational methods

We deal with multiplicity of solutions to the following Schrödinger-Poisson-type system in this article: where is the Kohn-Laplacian and is a smooth bounded region on the first Heisenberg group , , and are some real parameters, and , satisfying natural growth conditions. By the limit index theory an...