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The Dirichlet index under minimal conditions
Published online by Cambridge University Press: 14 November 2011
Synopsis
We extend several known properties of the Dirichlet index to the case of minimal conditions and prove that the index is invariant under positive t bounded perturbations of the associated quadratic form. The index is also shown to be minimal for fourth order operators with certain growth conditions on some of their coefficients.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 3-4 , 1984 , pp. 303 - 316
- Copyright
- Copyright © Royal Society of Edinburgh 1984
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