An infinity Laplace equation with gradient term and mixed boundary conditions

Authors:
Scott N. Armstrong, Charles K. Smart and Stephanie J. Somersille

Journal:
Proc. Amer. Math. Soc. **139** (2011), 1763-1776

MSC (2010):
Primary 35J70, 35J75, 91A15

DOI:
https://doi.org/10.1090/S0002-9939-2010-10666-4

Published electronically:
October 29, 2010

MathSciNet review:
2763764

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We obtain existence, uniqueness, and stability results for the modified 1-homogeneous infinity Laplace equation

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Additional Information

**Scott N. Armstrong**

Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803

Email:
armstrong@math.lsu.edu

**Charles K. Smart**

Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720

Email:
smart@math.berkeley.edu

**Stephanie J. Somersille**

Affiliation:
Department of Mathematics, University of Texas, Austin, Texas 78712

Email:
steph@math.utexas.edu

DOI:
https://doi.org/10.1090/S0002-9939-2010-10666-4

Keywords:
Infinity Laplace equation,
comparison principle

Received by editor(s):
November 1, 2009

Received by editor(s) in revised form:
May 23, 2010

Published electronically:
October 29, 2010

Communicated by:
Matthew J. Gursky

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.