Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains

Autor:	Paolo Salani, Massimiliano Bianchini
Rok vydání:	2013
Předmět:	symbols.namesake Nonlinear system Operator (computer programming) Mathematical analysis Regular polygon symbols Convex domain Dirichlet distribution Convexity Power (physics) Mathematics
Zdroj:	Geometric Properties for Parabolic and Elliptic PDE's ISBN: 9788847028401
DOI:	10.1007/978-88-470-2841-8_3
Popis:	We investigate convexity properties of solutions to elliptic Dirichlet problems in convex domains. In particular we give conditions on the operator F such that a suitable power of a positive solution u of a fully nonlinear equation F(x,u,Du,D 2 u)=0 in a convex domain Ω, vanishing on ∂Ω, is concave.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dbbbd4989733e050517580377a9f59b6 https://doi.org/10.1007/978-88-470-2841-8_3 Zobrazit plný text záznamu