This article is available for purchase or by subscription. See below.
Abstract
|
A viscosity approach is introduced for the Dirichlet problem
associated to complex Hessian-type equations on domains in
. The
arguments are modeled on the theory of viscosity solutions for real Hessian-type
equations developed by Trudinger (1990). As a consequence we solve the Dirichlet
problem for the Hessian quotient and special Lagrangian equations. We also establish
basic regularity results for the solutions.
|
PDF Access Denied
However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/apde
We have not been able to recognize your IP address
18.206.14.36
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
nonlinear elliptic PDEs, viscosity solutions,
pluripotential theory
|
Mathematical Subject Classification 2010
Primary: 35J70
Secondary: 32U15
|
Milestones
Received: 13 January 2018
Accepted: 30 May 2018
Published: 14 August 2018
|
|