Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Critical point theory for nonlinear eigenvalue problems with indefinite principal part

Author: Melvyn S. Berger
Journal: Trans. Amer. Math. Soc. 186 (1973), 151-169
MSC: Primary 47H15; Secondary 58E15
MathSciNet review: 0341210
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A study of the nontrivial solutions of the operator equation $ Lu = \lambda \Pi'(u)$ is made, where L is a selfadjoint Fredholm operator mapping a Hilbett space H into itself, and $ \Pi(u)$ is a $ C'$ weakly sequentially continuous real valued functional defined on H. Applications are given to the theory of semilinear elliptic boundary value problems and periodic solutions of Hamiltonian systems.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47H15, 58E15

Retrieve articles in all journals with MSC: 47H15, 58E15

Additional Information

Keywords: Nonlinear eigenvalue problems, nonlinear operator equation, semilinear elliptic boundary value problem
Article copyright: © Copyright 1973 American Mathematical Society