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

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On strongly indefinite functionals with applications

Author: Helmut Hofer
Journal: Trans. Amer. Math. Soc. 275 (1983), 185-214
MSC: Primary 58E05; Secondary 35L70, 47H15
MathSciNet review: 678344
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Recently, in their remarkable paper Critical point theory for indefinite functionals, V. Benci and P. Rabinowitz gave a direct approach--avoiding finite-dimensional approximations--to the existence theory for critical points of indefinite functionals. In this paper we develop under weaker hypotheses a simpler but more general theory for such problems. In the second part of the paper the abstract results are applied to a class of resonance problems of the Landesman and Lazer type, and moreover they are illustrated by an application to a wave equation problem.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 58E05, 35L70, 47H15

Retrieve articles in all journals with MSC: 58E05, 35L70, 47H15

Additional Information

PII: S 0002-9947(1983)0678344-2
Keywords: Critical point theory, resonance problem, wave equation
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