20.500.12556/RUL-136024 On nonlinear biharmonic problems on the Heisenberg group We investigate the boundary value problem for biharmonic operators on the Heisenberg group. The inherent features of ▫$\mathbb{H}^n$▫ make it an appropriate environment for studying symmetry rules and the interaction of analysis and geometry with manifolds. The goal of this paper is to prove that a weak solution for a biharmonic operator on the Heisenberg group exists. Our key tools are a version of the Mountain Pass Theorem and the classical variational theory. This paper will be of interest to researchers who are working on biharmonic operators on ▫$\mathbb{H}^n$▫. Heisenberg group $\mathbb{H}^n$ bi-Kohn Laplacian Mountain Pass Theorem variational theory true false true Angleški jezik Ni določen Članek v reviji 2022-04-07 10:22:09 2022-04-07 10:22:12 2022-09-15 04:13:15 0000-00-00 00:00:00 2022 0 0 10 str. iss. 4 Vol. 14 Apr. 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2022-02-28 2022-03-25 2022-03-31 517.951.6 2073-8994 10.3390/sym14040705 103836675 RAZ_Zuo_Jiabin_2022.pdf RAZ_Zuo_Jiabin_2022.pdf 1 22F768E5E3F7551E8D4D35174ED5307D 66311edcc0977e3369ec48445544909a1105676f3344598f0dfcffb1704fdd16 e4a467b2-b64b-11ec-8aca-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=155448 https://www.mdpi.com/2073-8994/14/4/705 1 c8ace69f-b64b-11ec-8aca-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=155447 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0