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Solutions for nonhomogeneous Kohn–Spencer Laplacian on Heisenberg group.
- Source :
-
Applicable Analysis . Sep2024, Vol. 103 Issue 13, p2372-2389. 18p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the existence of at least one bounded weak solution for Kohn–Spencer Laplacian with a weight depending on the solution and convection term of the form \[ -div_{\mathbb{H}^n}(\nu(\xi,u) |D_{\mathbb{H}^n}u|^{p-2}_{\mathbb{H}^n}D_{\mathbb{H}^n}u)=f(\xi,u,D_{\mathbb{H}^n} u) \] − di v H n (ν (ξ , u) | D H n u | H n p − 2 D H n u) = f (ξ , u , D H n u) in a bounded domain $ \Omega \subset \mathbb {H}^n $ Ω ⊂ H n . We show the set of solutions is uniformly bounded by a special Moser's iteration. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LAPLACIAN operator
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 103
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 178943817
- Full Text :
- https://doi.org/10.1080/00036811.2023.2297866