Concerning the Schrödinger equation , a condition for is formulated to ensure that there exists a nodal domain being a circle. Similarly, conditions for the Sturm–Liouville equation are obtained for the existence of a pair of conjugate points.
Cite this article
Erich Müller-Pfeiffer, Nodal Domains for One- and Two-Dimensional Elliptic Differential Equations. Z. Anal. Anwend. 7 (1988), no. 2, pp. 135–139DOI 10.4171/ZAA/290