Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A remark on Bony maximum principle

Author: P.-L. Lions
Journal: Proc. Amer. Math. Soc. 88 (1983), 503-508
MSC: Primary 35J65; Secondary 35B50
MathSciNet review: 699422
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We extend a result due to J. M. Bony concerning a form of the classical maximum principle adapted to Sobolev spaces. We treat the case of the limiting exponent and show that the result is optimal. We give various applications to nonlinear elliptic partial differential equations.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35J65, 35B50

Retrieve articles in all journals with MSC: 35J65, 35B50

Additional Information

PII: S 0002-9939(1983)0699422-3
Keywords: Sobolev spaces, maximum principle, second-order elliptic equations, viscosity solutions
Article copyright: © Copyright 1983 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia