Remarks on comparison principles for -Laplacian with extension to -Laplacian

Autor:	Ahmed Mohammed, Antonio Vitolo
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Quasilinear elliptic operators maximum principles comparison principles Mathematics QA1-939
Zdroj:	Bulletin of Mathematical Sciences, Vol 14, Iss 03 (2024)
Druh dokumentu:	article
ISSN:	16643607 1664-3615 1664-3607
DOI:	10.1142/S1664360724500115
Popis:	Our purpose is to generalize some recent comparison principles for operators driven by [Formula: see text]-Laplacian to a wide class of quasilinear equations including [Formula: see text]-Laplacian. It turns out, in particular, that adding a [Formula: see text]-Laplacian to [Formula: see text]-Laplacian allows to weaken the assumptions needed on the Hamiltonian of lower order terms. The results are specialized in the case that the Hamiltonian has at most polynomial growth in the gradient with coefficients depending on [Formula: see text] and [Formula: see text].
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/41931f37b5c6484ea884be6d0d98fd6c Zobrazit plný text záznamu View record in DOAJ