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

Autor:	Maria Alessandra Ragusa, Abdolrahman Razani, Farzaneh Safari
Rok vydání:	2023
Předmět:	Heisenberg p(·)-Laplacian operator variational principle General Mathematics mountain pass geometry theorem Muckenhoupt weight function Heisenberg p(·)-Laplacian operator variational principle Muckenhoupt weight function mountain pass geometry theorem
Zdroj:	AIMS Mathematics. 8:404-422
ISSN:	2473-6988
DOI:	10.3934/math.2023019
Popis:	A variational principle is applied to examine a Muckenhoupt weighted $ p(\cdot) $-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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a1e5615a54d9a307747b5990342cf506 https://doi.org/10.3934/math.2023019 Zobrazit plný text záznamu