Existence of positive radial solutions for a problem involving the weighted Heisenberg p(⋅)-Laplacian operator

Autor: Maria Alessandra Ragusa, Abdolrahman Razani, Farzaneh Safari
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 1, Pp 404-422 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023019?viewType=HTML
Popis: A variational principle is applied to examine a Muckenhoupt weighted p(⋅)-Laplacian equation on the Heisenberg groups. The existence of at least one positive radial solution to the problem under the Dirichlet boundary condition belongs to the first order Heisenberg-Sobolev spaces is proved.
Databáze: Directory of Open Access Journals