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Zeitschrift für Analysis und ihre Anwendungen

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Volume 7, Issue 1, 1988, pp. 77–83
DOI: 10.4171/ZAA/284

Published online: 1988-02-29

On the Elliptic Sturmian Theory for General Domains

Erich Müller-Pfeiffer[1]

(1) Pädagogische Hochschule, Erfurt, Germany

The well-known comparison theorem by Sturm and Picone for ordinary, self-adjoint, second order differential equations is extended to self-adjoint elliptic differential equations. The basic domain $G$ and the coefficients of the equation are not necessarily bounded, and no regularity hypotheses on the boundary $\partial G$ are required.

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Müller-Pfeiffer Erich: On the Elliptic Sturmian Theory for General Domains. Z. Anal. Anwend. 7 (1988), 77-83. doi: 10.4171/ZAA/284