On positive solutions of some periodic parabolic eigenvalue problem with a weight function

 Access to full text

 Full (PDF)

1. [A] H. Amann, Periodic solutions of semilinear parabolic equations. Nonlinear Analysis (Ed. CESARI, KANNAN, WEINBERGER), Academic Press, New York (1978). Zbl0464.35050MR499089
2. [B] A. Beltramo, Über den Hauptteigenwert von periisch-parabolischen Differentialoperatoren, Ph. D. Thesis, Univ. of Zurich (1984). 
3. [B-H] A. Beltramo - P. Hess, On the principal eigenvalue of a periodic parabolic operator, Comm. Partial and differential Equations, 9 (1984), pp. 919-941. Zbl0563.35033MR749652
4. [C-R] M.G. Crandall - P.H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues and stability, Arch. Rat. Mech. Anal., V52, N. 2 (1973), pp. 161-180. Zbl0275.47044MR341212
5. [G-L-P] T. Godoy - E. Lami Dozo - S. Paczka, The periodic parabolic eigenvalue problem with L∞ weight, Math. Scand., 81 (1997), pp. 20-34. Zbl0892.35071
6. [H,1] P. Hess, Periodic-parabolic Boundary Problems and Positivity. Longman, Scientific & technical, Copublished in the United States with John Wiley & Sons, Inc., New York (1992). Zbl0731.35050MR1194212
7. [H,2] P. Hess, On positive solutions of semilinear periodic-parabolic problems. Infinite dimensional Systems, Lecture Notes in Mathematics1076, p. 101-114, Springer Verlag, Berlin-Heidelberg- New York-Tokyo. Zbl0556.35066MR763357
8. [P] S. Paczka, A Neumann periodic parabolic eigenvalue problem with continuous weight, Rend. Sem. Mat. Pol. Torino, V. 54, 1 (1996), pp. 67-74. Zbl0884.35050MR1490014
9. [S] J. Schwartz, Compact positive mappings in Lebesgue spaces, Comm. on Pure and Appl. Math., V, XIV (1961), pp. 693-705. Zbl0109.34301MR138991
10. [Z] M. Zerner, Quelques propriétés spectrales des opérateurs positifs, J. of Funct. Anal., V. 72, N. 2 (1987), pp. 381-417. Zbl0642.47031MR886819