Principal eigenvalues of weighted periodic-parabolic problems
Based on a recent characterization of the strong maximum principle, , this paper gives some periodic parabolic counterparts of some of the results of Chapters 8 and 9 of J. L´opez-G´omez . Among them count some pivotal monotonicity properties of the principal eigenvalue σ[P+V,B,QT ], as well as its concavity with respect to the periodic potential V through a point-wise periodic-parabolic Donsker–Varadhan min-max characterization. Finally, based on these findings, this paper sharpens, substantially, some classical results of A. Beltramo and P. Hess , K. J. Brown and S. S. Lin , and P. Hess  on the existence and uniqueness of principal eigenvalues for weighted boundary value problems.
EUT Edizioni Università di Trieste
Inmaculada Antón, Julián López-Gómez, "Principal eigenvalues of weighted periodic-parabolic problems", in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics", 49 (2017), Trieste, EUT Edizioni Università di Trieste, 2017, pp. 287-318
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