Geodesic
A Note on a Comparison Result for Elliptic Equations
Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1081-1085

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent paper [2], Bushard established and applied a comparison theorem for positive solutions to the equation: in an arbitrary bounded domain D of Euclidean w-space Rn. The proof of these results depended on the absence of mixed derivatives of u in the equation considered. 
Allegretto, W. A Note on a Comparison Result for Elliptic Equations. Canadian journal of mathematics, Tome 29 (1977) no. 5, pp. 1081-1085. doi: 10.4153/CJM-1977-106-3
@article{10_4153_CJM_1977_106_3,
     author = {Allegretto, W.},
     title = {A {Note} on a {Comparison} {Result} for {Elliptic} {Equations}},
     journal = {Canadian journal of mathematics},
     pages = {1081--1085},
     year = {1977},
     volume = {29},
     number = {5},
     doi = {10.4153/CJM-1977-106-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-106-3/}
}
TY  - JOUR
AU  - Allegretto, W.
TI  - A Note on a Comparison Result for Elliptic Equations
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 1081
EP  - 1085
VL  - 29
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-106-3/
DO  - 10.4153/CJM-1977-106-3
ID  - 10_4153_CJM_1977_106_3
ER  - 
%0 Journal Article
%A Allegretto, W.
%T A Note on a Comparison Result for Elliptic Equations
%J Canadian journal of mathematics
%D 1977
%P 1081-1085
%V 29
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-106-3/
%R 10.4153/CJM-1977-106-3
%F 10_4153_CJM_1977_106_3

[1] 1. Allegretto, W., A comparison theorem for nonlinear operators, Ann. Scuola Norm. Sup. Pisa (1) 25 (1971), 41–46. Google Scholar

[2] 2. Bushard, L. B., A comparison result for a class of quasilinear elliptic partial differential equations, J. Differential Equations 21 (1976), 439–443. Google Scholar

[3] 3. Sternberg, S., Lectures on differential geometry (Prentice-Hall, New Jersey, 1964). Google Scholar

[4] 4. Swanson, C. A., Comparison and oscillation theory of linear differential equations (Academic Press, New York and London, 1968). Google Scholar

Cité par Sources :