On the Elliptic Sturmian Theory for General Domains

  • Erich Müller-Pfeiffer

    Pädagogische Hochschule, Erfurt, Germany

Abstract

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 and the coefficients of the equation are not necessarily bounded, and no regularity hypotheses on the boundary are required.

Cite this article

Erich Müller-Pfeiffer, On the Elliptic Sturmian Theory for General Domains. Z. Anal. Anwend. 7 (1988), no. 1, pp. 77–83

DOI 10.4171/ZAA/284