A Brezis-Oswald approach for mixed local and nonlocal operators

Autor:	Stefano Biagi, Dimitri Mugnai, Eugenio Vecchi
Přispěvatelé:	Biagi S., Mugnai D., Vecchi E.
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	existence and uniqueness of solution Applied Mathematics General Mathematics Operators of mixed order strong maximum principle p -sublinear Dirichlet problem L ∞ -estimate
Popis:	In this paper, we provide necessary and sufficient conditions for the existence of a unique positive weak solution for some sublinear Dirichlet problems driven by the sum of a quasilinear local and a nonlocal operator, i.e. [Formula: see text] Our main result is resemblant to the celebrated work by Brezis–Oswald [Remarks on sublinear elliptic equations, Nonlinear Anal. 10 (1986) 55–64]. In addition, we prove a regularity result of independent interest.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b170a05d7a93e1759c58903b8044bbd4 https://hdl.handle.net/11585/898551 Zobrazit plný text záznamu