This article is available for purchase or by subscription. See below.
Abstract
|
This paper is concerned with the existence of viscosity solutions of nonlocal fully
nonlinear equations that are not translation-invariant. We construct a discontinuous
viscosity solution of such a nonlocal equation by Perron’s method. If the equation is
uniformly elliptic, we prove the discontinuous viscosity solution is Hölder continuous
and thus it is a viscosity solution.
|
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
3.235.140.84
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
viscosity solution, integro-PDE,
Hamilton–Jacobi–Bellman–Isaacs
equation, Perron's method, weak Harnack inequality
|
Mathematical Subject Classification 2010
Primary: 35D40, 35J60, 35R09, 47G20, 49N70
Secondary: 45K05
|
Milestones
Received: 24 November 2016
Revised: 1 February 2017
Accepted: 24 April 2017
Published: 1 July 2017
|
|