Yamabe-type equations on Carnot groupsMolica Bisci, Giovanni (Avtor) Repovš, Dušan (Avtor) subelliptic equationcritical problemCarnot groupexistence resultvariational methodsThis article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain ▫$D$▫ of the Heisenberg group ▫$\mathbb{H}^n = \mathbb{C}^n \times \mathbb{R}$▫. Our approach is based on pure variational methods and locally sequentially weakly lower semicontinuous arguments.20172019-09-05 14:09:56Članek v reviji109548UDK: 517.956ISSN pri članku: 0926-2601DOI: 10.1007/s11118-016-9587-5COBISS_ID: 17744729OceCobissID: 512523801sl