Higher integrability and stability of (p,q)-quasiminimizers

Autor:	Antonella Nastasi, Cintia Pacchiano Camacho
Přispěvatelé:	Nastasi A., Pacchiano Camacho C.
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs Applied Mathematics FOS: Mathematics 31E05 30L99 46E35 Analysis Analysis of PDEs (math.AP) (p q)-Laplace operator Measure metric spaces Minimal p-weak upper gradient Minimizer
Popis:	Using purely variational methods, we prove local and global higher integrability results for upper gradients of quasiminimizers of a $(p,q)$-Dirichlet integral with fixed boundary data, assuming it belongs to a slightly better Newtonian space. We also obtain a stability property with respect to the varying exponents $p$ and $q$. The setting is a doubling metric measure space supporting a Poincar\'e inequality.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3f25cd1b892fee071bbaf15606d42eb https://hdl.handle.net/10447/572785 Zobrazit plný text záznamu