Proves upper semicontinuity of nodal domain counts under perturbations of Schrödinger operators on closed surfaces and constructs Courant-sharp metrics with prescribed boundary intersections.
28, European Mathematical Society (EMS), Z\"urich, 2018, A geometrical analysis, English version of the French publication [MR2512810] with additions and updates
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Nodal Domains on Surfaces under Perturbation: Upper Semicontinuity, Courant-Sharpness, and Boundary Intersections
Proves upper semicontinuity of nodal domain counts under perturbations of Schrödinger operators on closed surfaces and constructs Courant-sharp metrics with prescribed boundary intersections.