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

T. Godoy; A. Guerin; S. Paczka

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 101, page 1-18
  • ISSN: 0041-8994

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Godoy, T., Guerin, A., and Paczka, S.. "On positive solutions of some periodic parabolic eigenvalue problem with a weight function." Rendiconti del Seminario Matematico della Università di Padova 101 (1999): 1-18. <http://eudml.org/doc/108486>.

@article{Godoy1999,
author = {Godoy, T., Guerin, A., Paczka, S.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {existence, uniqueness and simplicity of the principal eigenvalue},
language = {eng},
pages = {1-18},
publisher = {Seminario Matematico of the University of Padua},
title = {On positive solutions of some periodic parabolic eigenvalue problem with a weight function},
url = {http://eudml.org/doc/108486},
volume = {101},
year = {1999},
}

TY - JOUR
AU - Godoy, T.
AU - Guerin, A.
AU - Paczka, S.
TI - On positive solutions of some periodic parabolic eigenvalue problem with a weight function
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 101
SP - 1
EP - 18
LA - eng
KW - existence, uniqueness and simplicity of the principal eigenvalue
UR - http://eudml.org/doc/108486
ER -

References

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  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

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