Liouville theorems for elliptic systems with nonlinear gradient terms

Autor:	Jorge García-Melián, M. Á. Burgos-Pérez
Rok vydání:	2018
Předmět:	Elliptic systems Applied Mathematics media_common.quotation_subject 010102 general mathematics Zero (complex analysis) Type (model theory) Infinity 01 natural sciences 010101 applied mathematics Nonlinear system 0101 mathematics Analysis Mathematics media_common Mathematical physics
Zdroj:	Journal of Differential Equations. 265:6316-6351
ISSN:	0022-0396
DOI:	10.1016/j.jde.2018.07.034
Popis:	In this paper we obtain Liouville type theorems for positive supersolutions of the elliptic system { − Δ u + | ∇ u | q = λ f ( v ) − Δ v + | ∇ v | q = μ g ( u ) in exterior domains of R N , where q > 1 and the functions f and g behave like a power near zero or infinity. We show that positive supersolutions do not exist in some ranges of the parameters involved, which are optimal in the special case where f ( v ) = v p and g ( u ) = u s , with p , s > 0 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c10a998b54b4ff1cfe2872cee7eb2976 https://doi.org/10.1016/j.jde.2018.07.034 Zobrazit plný text záznamu Full Text from ScienceDirect