A comparison theorem for nonlinear operators

W. Allegretto

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1971)

  • Volume: 25, Issue: 1, page 41-46
  • ISSN: 0391-173X

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Allegretto, W.. "A comparison theorem for nonlinear operators." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 25.1 (1971): 41-46. <http://eudml.org/doc/83557>.

@article{Allegretto1971,
author = {Allegretto, W.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {41-46},
publisher = {Scuola normale superiore},
title = {A comparison theorem for nonlinear operators},
url = {http://eudml.org/doc/83557},
volume = {25},
year = {1971},
}

TY - JOUR
AU - Allegretto, W.
TI - A comparison theorem for nonlinear operators
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1971
PB - Scuola normale superiore
VL - 25
IS - 1
SP - 41
EP - 46
LA - eng
UR - http://eudml.org/doc/83557
ER -

References

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  1. [1] W. Allegretto, PhD dissertation, University of BritishColumbia, 1969. 
  2. [2] M.A. Krasnoselskii, Positive solutions of operator equations, Noordhoff, Groningen, 1964. Zbl0121.10604MR181881
  3. [3] K. Kreith, Sturm theorems and positive resolvents, Trans. Amer. Math. Soc, 139 (1969), pp. 319-327. Zbl0175.15201MR239246
  4. [4] K. Kreith, A remark on a comparison theorem of Swanson, Proc. Amer. Math. Soc., 20 (1969), pp. 549-550. Zbl0175.39902MR236503
  5. [5] M.H. Protter, A comparison theorem for elliptic equations, Proc. Amer. Math. Soc., 10 (1959), pp. 296-299. Zbl0121.08104MR107076
  6. [6] C.A. Swanson, A comparison theorem for elliptic differential equations, Proc. Amer. Math Soc., 17 (1966), pp. 611-616 Zbl0144.14601MR201781
  7. [7] C.A. Swanson, An identity for elliptic equations with applications, Trans. Amer. Math. Soc., 134 (1968) pp. 325-333. Zbl0164.13103MR232074
  8. [8] C.A. Swanson, Comparison and Oscillation theory of linear differential equations, Academic Press, New York and London, 1968. Zbl0191.09904MR463570
  9. K. Kreith; A comparison theorem for general elliptic equations with mixed boundary conditions, J. Diff. Eq.8 (3), 1970, pp. 537-541. Zbl0206.11304MR265737
  10. D. Dunninger; A. Picone identity for non-self-adjoint elliptic operators, Atti, Accad. Naz. Lincei, Cl. Sci, Fiz, Mat. Natur. Rend.XLVIII (1970), 133-139. Zbl0195.39403MR299926
  11. G. Platone and G. Maria; Teoremi di confronto per soprasoluzioni rispetto a operatori ellittici del secondo ordine a coefficienti discontinui in aperti illimitati, Boll. U. M. I., IV Ser. 3, (1970), pp, 362-374. Zbl0196.12304MR268516

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