A homotopy method for solving an equation of the type -Δu=F(u)
Annales de l'I.H.P. Analyse non linéaire, Tome 1 (1984) no. 4, pp. 205-222. 
@article{AIHPC_1984__1_4_205_0,
     author = {Devys, Christophe and Morel, Jean-Michel and Witomski, P.},
     title = {A homotopy method for solving an equation of the type $- \Delta u = F(u)$},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {205--222},
     publisher = {Gauthier-Villars},
     volume = {1},
     number = {4},
     year = {1984},
     zbl = {0569.65087},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1984__1_4_205_0/}
}
TY  - JOUR
AU  - Devys, Christophe
AU  - Morel, Jean-Michel
AU  - Witomski, P.
TI  - A homotopy method for solving an equation of the type $- \Delta u = F(u)$
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1984
SP  - 205
EP  - 222
VL  - 1
IS  - 4
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1984__1_4_205_0/
LA  - en
ID  - AIHPC_1984__1_4_205_0
ER  - 
%0 Journal Article
%A Devys, Christophe
%A Morel, Jean-Michel
%A Witomski, P.
%T A homotopy method for solving an equation of the type $- \Delta u = F(u)$
%J Annales de l'I.H.P. Analyse non linéaire
%D 1984
%P 205-222
%V 1
%N 4
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1984__1_4_205_0/
%G en
%F AIHPC_1984__1_4_205_0
Devys, Christophe; Morel, Jean-Michel; Witomski, P. A homotopy method for solving an equation of the type $- \Delta u = F(u)$. Annales de l'I.H.P. Analyse non linéaire, Tome 1 (1984) no. 4, pp. 205-222. http://www.numdam.org/item/AIHPC_1984__1_4_205_0/

[1] Abraham-Robbin, Transversal Mappings and Flows. W. A. Benjamin, Inc., 1967. | MR | Zbl

[2] R.A. Adams, Sobolev Spaces. Academic Press, New York, 1975. | MR | Zbl

[3] J.C. Alexander and J.A. Yorke, A numerical continuation method that works generically. University of Maryland, Dept. of Math., MD 77-9, JA, TR 77-9, 1977.

[4] S.N. Chow, J. Mallet-Paret and J.A. Yorke, Finding zeros of maps: Homotopy methods that are constructive with probability one. Math. Comp., t. 32, 1978, p. 887-899. | MR | Zbl

[5] B.C. Eaves and R. Saigal, Homotopies for computation of fixed points on unbounded regions, Mathematical Programming, t. 3, n° 2, 1972, p. 225-237. | MR | Zbl

[6] T. Kato, Perturbation theory for nonlinear operators. Springer Verlag, 1966. | MR | Zbl

[7] R.B. Kellog, T.Y. Li and J. Yorke, A Method of Continuation for Calculating a Brouwer Fixed Point, in: Computing Fixed Points with Applications, S. Karamardian, ed., Academic Press, New York, 1977. | MR | Zbl

[8] S. Lang, Analysis, Madison-Wesley Publishing Company, 1968. | Zbl

[9] S. Smale, An infinite dimensional version of Sard's theorem. American Journal of Math., t. 87, 1965, p. 861-866. | MR | Zbl

[10] S. Smale, A convergent process of price adjustment and global Newton methods, J. Math. Econ., t. 3, p. 1-14. | MR | Zbl