Positive Solutions of Fully Nonlinear Elliptic Equations on General Bounded Domains

Positive Solutions of Fully Nonlinear Elliptic Equations on General Bounded Domains

Year:    2001

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 2 : pp. 111–116

Abstract

We prove the refined ABP maximum principle, comparison principle, and related existence and uniqueness theorem for the positive solutions of the Dirichlet problems of second order fully nonlinear elliptic equations on arbitrary bounded domains.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2001-JPDE-5474

Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 2 : pp. 111–116

Published online:    2001-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    Refined ABP maximum principle