@article{CMUC_1972_13_3_a6,
author = {Petry, Walter},
title = {On the iterative construction of a solution of nonlinear elliptic boundary value problems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {479--492},
year = {1972},
volume = {13},
number = {3},
mrnumber = {0320520},
zbl = {0241.35027},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1972_13_3_a6/}
}
TY - JOUR AU - Petry, Walter TI - On the iterative construction of a solution of nonlinear elliptic boundary value problems JO - Commentationes Mathematicae Universitatis Carolinae PY - 1972 SP - 479 EP - 492 VL - 13 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMUC_1972_13_3_a6/ LA - en ID - CMUC_1972_13_3_a6 ER -
Petry, Walter. On the iterative construction of a solution of nonlinear elliptic boundary value problems. Commentationes Mathematicae Universitatis Carolinae, Tome 13 (1972) no. 3, pp. 479-492. http://geodesic.mathdoc.fr/item/CMUC_1972_13_3_a6/
[1] BROWDER F. E.: Nonlinear elliptic boundary value problems. Bull. Amer. Math. Soc. 69 (1963), 862-874. | MR | Zbl
[2] BROWDER F. E.: Nonlinear elliptic boundary value problems II. Trans. Amer. Math. Soc. 117 (1965), 530-550. | MR | Zbl
[3] BROWDER F. E.: Existence theorems for nonlinear partial differential equations. Proc. Sympos. Pure Math., vol. 16, Amer. Math. Soc. Providence, R. I., 1970, 1-60. | MR | Zbl
[4] BROWDER F. R.: Nonlinear elliptic boundary value problems and the generalized topological degree. Bull. Amer. Math. Soc. 76 (1970), 999-1005. | MR | Zbl
[5] DUBINSKII Yu. A.: Quasilinear elliptic and parabolic equations of arbitrary order. Russian Math. Surveys 23 (1968), 45-91. | MR
[6] KOSELEV A. I.: Convergence of the method of successive approximation for quasilinear elliptic equations. Soviet Math. Dokl. 3 (1962), 219-222. | Zbl
[7] KRATOCHVÍL A.: Les méthodes approximatives de la solution des équations elliptiques non linéaires. Comment. Math. Univ. Caroline 9 (1968), 455-510. | MR
[8] LERAY J., LIONS J. L.: Quelques résultats de VISIK sur les problèmes elliptiques non linéaires par les méthodes de MINTY-BROWDER. Bull. Soc. Math. France 93 (1965), 97-107. | MR | Zbl
[9] NEČAS J.: Sur l'alternative de FREDHOLM pour les opérateurs non-linéaires avec applications aux problèmes aux limites. Ann. Scuola Norm. Sup. Pisa 23 (1969) 331-345. | MR | Zbl
[10] PETRY W.: Iterative Lösung gewisser nichtlinearer Operatorgleichungen mit Anwendung auf quasilineare Differentialgleichungen. Aequationes Mathematicae 5 (1971), 16-38. | MR
[11] POHOŽAJEV S. I.: The solvability of nonlinear equations with odd operators. Funct. Anal. Appl. 1 (1967), 66-73.
[12] VIŠIK M. I.: Boundary value problems for quasilinear strongly elliptic systems of divergent form. Dokl. Akad. Nauk SSSR 138 (1961), 18-521 (Russian). | MR
[13] VIŠIK M. I.: Quasi-linear strongly elliptic systems of differential equations in divergence form. Trudy Moskov. Mat. Obsc. 12 (1963), 125-184 (Russian), | MR