Autovalori di un problema ellittico dipendente da un parametro in modo non lineare

Giovanna Cerami

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 65, page 135-141
  • ISSN: 0041-8994

How to cite

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Cerami, Giovanna. "Autovalori di un problema ellittico dipendente da un parametro in modo non lineare." Rendiconti del Seminario Matematico della Università di Padova 65 (1981): 135-141. <http://eudml.org/doc/107810>.

@article{Cerami1981,
author = {Cerami, Giovanna},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {nonlinear parameter dependence; positive solution; first eigenvalue; strongly elliptic operator},
language = {ita},
pages = {135-141},
publisher = {Seminario Matematico of the University of Padua},
title = {Autovalori di un problema ellittico dipendente da un parametro in modo non lineare},
url = {http://eudml.org/doc/107810},
volume = {65},
year = {1981},
}

TY - JOUR
AU - Cerami, Giovanna
TI - Autovalori di un problema ellittico dipendente da un parametro in modo non lineare
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 65
SP - 135
EP - 141
LA - ita
KW - nonlinear parameter dependence; positive solution; first eigenvalue; strongly elliptic operator
UR - http://eudml.org/doc/107810
ER -

References

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  1. [1] C. Del Pace - G. PAPI FROSALI, Principio di massimo ed antofunzioni positive per una famiglia di operatori ellittici quadratica nel parametro, Analisi Funzionale e Applicazioni, suppl. B.U.M.I., 1 (1980), pp. 219-237. Zbl0449.35022MR677699
  2. [2] A. Devinatz - R. ELLIS - A. FRIEDMAN, The asymptotic behavior of the first real eigenvalue of second order elliptic operators with a small parameter in the highest derivatives II, Indiana Univ. Math. J., 23 (1974), pp. 991-1011. Zbl0263.35026MR344709
  3. [3] J. Eisenfeld, On simmetrization and roots of quadratic eigenvalue problems, J. Functional Analysis, 9 (1972), pp. 410-422. Zbl0231.47015MR296727
  4. [4] I.C. Gohberg - M. G. KREIN, Introduction to the theory of linear nonselfadjoint operators, American Mathematical Society, Providence R.I., 1969. Zbl0181.13504MR246142
  5. [5] T. Kato, Perturbation theory for linear operators, Springer-Verlag, New York, 1966. Zbl0148.12601MR203473
  6. [6] M.A. Krasnosel'skii, Positive solutions of operator equations, Nordhoff, Groningen, 1966. MR181881
  7. [7] M.G. Krein - H. LANGER, A contribution to the theory of quadratic pencils of selfadjoint operators, Soviet. Math. Dokl., 5-1 (1964), pp. 266-268. Zbl0198.47102
  8. [8] C. Miranda, Partial differential equations of elliptic type, Springer-Verlag, New York, 1970. Zbl0198.14101MR284700
  9. [9] M. Protter - H. WEINBERGER, On the spectrum of general second order operators, Bull. Amer. Math. Soc., 72 (1966), pp. 251-255. Zbl0141.09901MR190527

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