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An extension of the Sturm–Picone theorem to elliptic differential equations

Published online by Cambridge University Press:  14 November 2011

E. Müller-Pfeiffer
E. Müller-Pfeiffer
Affiliation:
Erfurt, G. D. R.
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Synopsis

The paper presents an extension of the well-known Sturm–Picone theorem for self-adjoint equations to the n-dimensional case. The basic domain G ⊆ Rn is possibly unbounded and no regularity hypotheses on the boundary ∂G are required. The coefficients of the elliptic equation may also be unbounded on G.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 97 , 1984 , pp. 209 - 215
Copyright
Copyright © Royal Society of Edinburgh 1984

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