Nonlinear elliptic equations on Carnot groupsFerrara, Massimiliano (Avtor) Molica Bisci, Giovanni (Avtor) Repovš, Dušan (Avtor) subelliptic equationCarnot groupweak solutioncritical point resultHeisenberg groupFolland-Stein spaceThis article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic equation defined on a smooth and bounded domain ▫$D$▫ of the Heisenberg group ▫$\mathbb{H}^n = \mathbb{C}^n \times \mathbb{R}$▫. The main approach is based on variational methods.20172019-09-05 13:21:29Članek v reviji109545UDK: 517.956ISSN pri članku: 1578-7303DOI: 10.1007/s13398-016-0321-3COBISS_ID: 17738841OceCobissID: 17645351sl