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)


Principal eigenvalues for indefinite-weight elliptic problems in $ {\bf R}\sp n$

Author: W. Allegretto
Journal: Proc. Amer. Math. Soc. 116 (1992), 701-706
MSC: Primary 35P05; Secondary 35J10, 47F05
MathSciNet review: 1098396
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We consider the problem $ - \Delta u = \lambda gu$ in $ {R^n}$, $ u \to 0$ at $ \infty $ with $ g$ a function that changes sign. Under suitable growth conditions on $ g$ we show that this problem has an eigenvalue $ \lambda $ with a positive solution $ u$, as well as countably many other eigenvalues.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 35P05, 35J10, 47F05

Retrieve articles in all journals with MSC: 35P05, 35J10, 47F05

Additional Information

PII: S 0002-9939(1992)1098396-9
Keywords: Elliptic equation, indefinite weight, eigenvalue
Article copyright: © Copyright 1992 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