Lupo, Daniela; Payne, Kevin R. Existence of a principal eigenvalue for the Tricomi problem. (English) Zbl 1056.35125 Electron. J. Differ. Equ. 2000, Conf. 05, 173-180 (2000). Summary: The existence of a principal eigenvalue is established for the Tricomi problem in normal domains; that is, the existence of a positive eigenvalue of minimum modulus with an associated positive eigenfunction. The argument here uses prior results of the authors on the generalized solvability in weighted Sobolev spaces and associated maximum/minimum principles [Commun. Contemp. Math. 2, No. 4, 535–557 (2000; Zbl 1055.35076)] coupled with known results of Krein-Rutman type. Cited in 5 Documents MSC: 35M10 PDEs of mixed type 35P05 General topics in linear spectral theory for PDEs 35B10 Periodic solutions to PDEs Citations:Zbl 1055.35076 PDFBibTeX XMLCite \textit{D. Lupo} and \textit{K. R. Payne}, Electron. J. Differ. Equ. 2000, 173--180 (2000; Zbl 1056.35125) Full Text: EuDML EMIS