Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains | Zendy

Maria Emilia Amendola | Zendy; Luca Rossi | Zendy; Antonio Vitolo | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains

Author(s) -

Maria Emilia Amendola,

Luca Rossi,

Antonio Vitolo

Publication year - 2008

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2008/178534

Subject(s) - mathematics , harnack's inequality , harnack's principle , nonlinear system , mathematical analysis , maximum principle , order (exchange) , type (biology) , extension (predicate logic) , term (time) , inequality , boundary (topology) , boundary value problem , elliptic operator , pure mathematics , mathematical optimization , ecology , physics , finance , quantum mechanics , computer science , programming language , economics , biology , optimal control

We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary. As applications, we deduce ABP-type estimates and weak maximum principles in general unbounded domains, a strong maximum principle, and a Liouville-type theorem

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research