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On the existence of eigenvalues for some nonlinear elliptic and hyperbolic problems*
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this paper some eigenvalue problems for elliptic as well as hyperbolic equations are solved. The main tool used is an abstract critical point theorem on an unbounded manifold of the form {u | (Lu, u) = constant} (where L is a nonpositive selfadjoint operator), which makes use of a linking type argument on a manifold.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 3-4 , 1985 , pp. 297 - 305
- Copyright
- Copyright © Royal Society of Edinburgh 1985