| Title:
|
Existence theorems for operator equations and 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:
|
14 |
| Issue:
|
1 |
| Year:
|
1973 |
| Pages:
|
27-46 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| MSC:
|
46B10 |
| MSC:
|
46E35 |
| MSC:
|
47F05 |
| MSC:
|
47H05 |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0255.35040 |
| idMR:
|
MR0320830 |
| . |
| Date available:
|
2008-06-05T20:40:46Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105467 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105562 |
| . |
| Reference:
|
[1] H. BRÉZIS: Equations et inéquations non linéaires dans les espaces vectoriels en dualité.Ann. Inst. Fourier, Grenoble 18 (1968), 115-175. MR 0270222 |
| Reference:
|
[2] F. E. BROWDER: Nonlinear elliptic boundary value problems.Bull. Amer. Math. Soc. 69 (1963), 862-874. Zbl 0127.31901, MR 0156116 |
| Reference:
|
[3] F. E. BROWDER: Existence theorems for nonlinear partial differential equations."Global Analysis", Proc. Symposia Pure Math., Vol. XVI (held at the University of California, Berkeley, July 1-26, 1968), Amer. Math. Soc., Providence, Rhode Island 1970. MR 0269962 |
| Reference:
|
[4] F. E. BROWDER, BUI AN TON: Nonlinear functional equations in Banach spaces and elliptic superregularization.Math. Zeitschr. 105 (1968), 177-195. MR 0232256 |
| Reference:
|
[5] BUI AN TON: Pseudo-monotone operators in Banach spaces, and nonlinear elliptic equations.Math. Zeitschr. 111 (1971), 243-252. MR 0293466 |
| Reference:
|
[6] M. A. KRASNOSELSKII: Topological methods in the theory of non-linear integral equations.GITTL, Moscow, 1956; English transl., Macmillan, New York 19641. MR 0096983 |
| Reference:
|
[7] J. L. LIONS: Quelques méthodes de résolution des problèmes aux limites non linéaires.Dunod, Gauthier-Villars, Paris, 1969. Zbl 0189.40603, MR 0259693 |
| Reference:
|
[8] J. LERAY J. L. LIONS: Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder.Bull. Soc. Math. France 93 (1965), 97-107. MR 0194733 |
| Reference:
|
[9] J. NEČAS: Sur l'alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites.Estr. dagli Ann. délia Scuola Norm. Sup. Pisa, Cl. di Scienze 23 (1969), Fasc. II, 331-345. Zbl 0187.08103, MR 0267430 |
| Reference:
|
[10] J. NEČAS: Les équations elliptiques non linéaires.Czechoslovak Math. J. 19 (94) (1969), 252-274. MR 0252829 |
| Reference:
|
[11] W. PETRY: Existence theorems for a class of nonlinear operator equations.J. Math. Anal. Appl. (in print). Zbl 0264.47042, MR 0344958 |
| Reference:
|
[12] W. PETRY: Generalized Hammerstein equation and integral equation of Hammerstein type. Zbl 0274.47034 |
| Reference:
|
[13] M. I. VIŠIK: Boundary value problems for quasilinear strongly elliptic systems of divergent form.Soviet Math. Dokl. 2 (1961), 643-647. |
| Reference:
|
[14] M. I. VIŠIK: Solvability of the first boundary value problem for quasilinear equations with rapidly increasing coefficients in Orlicz spaces.Soviet Math. Dokl.4 (1963), 1060-1064. |
| Reference:
|
[15] M. I. VIŠIK: Quasi-linear strongly elliptic systems of differential equations in divergence form.Trans. Moscow Math. Soc. 12 (1963), 140-208. MR 0156085 |
| Reference:
|
[16] P. P. ZABREIKO: The Schaefer method in the theory of Hammerstein Integral Equations.Math. USSR Sbornik 13 (1971), Nr. 3, 451-471. |
| . |
