20.500.12556/RUL-109545 Nonlinear elliptic equations on Carnot groups This 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. subelliptic equation Carnot group weak solution critical point result Heisenberg group Folland-Stein space true false true Angleški jezik Ni določen Članek v reviji 2019-09-05 13:21:29 2019-09-05 13:21:31 2022-08-21 03:42:50 0000-00-00 00:00:00 2017 0 0 Str. 707-718 iss. 3 Vol. 111 2017 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.956 1578-7303 10.1007/s13398-016-0321-3 17738841 17645351 RAZ_Ferrara_Massimiliano_i2017.pdf RAZ_Ferrara_Massimiliano_i2017.pdf 1 DA2562C709E45724970F47F734F015E3 68c795c251a46f7254d5f97fd441abbecb10cd0b3b87e2eb0f28d1e7992b63d5 e4714cd7-a1b6-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=121124 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0