Unbounded planar domains whose second nodal line does not touch the boundary

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124813We show the existence of simply-connected unbounded planar domains for which the second nodal line of the Dirichlet Laplacian does not touch the boundary.LaTeX with 2 eps figures, 5 pages; to appear in Mathematical Research LettersSpectral TheoryAnalysis of PDEs35P05 (Primary); 35B05, 58J50 (Secondary)Unbounded planar domains whose second nodal line does not touch the boundarytext