| Title:
|
On the iterative construction of a solution of nonlinear elliptic boundary value problems (English) |
| Author:
|
Petry, Walter |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
13 |
| Issue:
|
3 |
| Year:
|
1972 |
| Pages:
|
479-492 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J60 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| MSC:
|
49D10 |
| MSC:
|
90C99 |
| idZBL:
|
Zbl 0241.35027 |
| idMR:
|
MR0320520 |
| . |
| Date available:
|
2008-06-05T20:39:23Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105435 |
| . |
| Reference:
|
[1] BROWDER F. E.: Nonlinear elliptic boundary value problems.Bull. Amer. Math. Soc. 69 (1963), 862-874. Zbl 0127.31901, MR 0156116 |
| Reference:
|
[2] BROWDER F. E.: Nonlinear elliptic boundary value problems II.Trans. Amer. Math. Soc. 117 (1965), 530-550. Zbl 0127.31903, MR 0173846 |
| Reference:
|
[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. Zbl 0211.17204, MR 0269962 |
| Reference:
|
[4] BROWDER F. R.: Nonlinear elliptic boundary value problems and the generalized topological degree.Bull. Amer. Math. Soc. 76 (1970), 999-1005. Zbl 0201.18401, MR 0264222 |
| Reference:
|
[5] DUBINSKII Yu. A.: Quasilinear elliptic and parabolic equations of arbitrary order.Russian Math. Surveys 23 (1968), 45-91. MR 0228826 |
| Reference:
|
[6] KOSELEV A. I.: Convergence of the method of successive approximation for quasilinear elliptic equations.Soviet Math. Dokl. 3 (1962), 219-222. Zbl 0125.05602 |
| Reference:
|
[7] KRATOCHVÍL A.: Les méthodes approximatives de la solution des équations elliptiques non linéaires.Comment. Math. Univ. Caroline 9 (1968), 455-510. MR 0240646 |
| Reference:
|
[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. Zbl 0132.10502, MR 0194733 |
| Reference:
|
[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. Zbl 0187.08103, MR 0267430 |
| Reference:
|
[10] PETRY W.: Iterative Lösung gewisser nichtlinearer Operatorgleichungen mit Anwendung auf quasilineare Differentialgleichungen.Aequationes Mathematicae 5 (1971), 16-38. MR 0307465 |
| Reference:
|
[11] POHOŽAJEV S. I.: The solvability of nonlinear equations with odd operators.Funct. Anal. Appl. 1 (1967), 66-73. |
| Reference:
|
[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 0150454 |
| Reference:
|
[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 0156085 |
| . |
