Existence theorems for operator equations and nonlinear elliptic boundary-value problems
Petry, Walter
Commentationes Mathematicae Universitatis Carolinae, Tome 014 (1973), p. 27-46 / Harvested from Czech Digital Mathematics Library
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Publié le : 1973-01-01
Classification:  35J60,  35J65,  46B10,  46E35,  47F05,  47H05,  47H15,  47J05 
@article{105467,
     author = {Walter Petry},
     title = {Existence theorems for operator equations and nonlinear elliptic boundary-value problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {014},
     year = {1973},
     pages = {27-46},
     zbl = {0255.35040},
     mrnumber = {0320830},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105467}
}

Petry, Walter. Existence theorems for operator equations and nonlinear elliptic boundary-value problems. Commentationes Mathematicae Universitatis Carolinae, Tome 014 (1973) pp. 27-46. http://gdmltest.u-ga.fr/item/105467/

H. Brézis Equations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier, Grenoble 18 (1968), 115-175. (1968) | MR 0270222

F. E. Browder Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862-874. (1963) | MR 0156116 | Zbl 0127.31901

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. (1968) | MR 0269962

F. E. Browder; Bui An Ton Nonlinear functional equations in Banach spaces and elliptic superregularization, Math. Zeitschr. 105 (1968), 177-195. (1968) | MR 0232256

Bui An Ton Pseudo-monotone operators in Banach spaces, and nonlinear elliptic equations, Math. Zeitschr. 111 (1971), 243-252. (1971) | MR 0293466

M. A. Krasnoselskii Topological methods in the theory of non-linear integral equations, GITTL, Moscow, 1956; English transl., Macmillan, New York 19641. (1956) | MR 0096983

J. L. Lions Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthier-Villars, Paris, 1969. (1969) | MR 0259693 | Zbl 0189.40603

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. (1965) | MR 0194733

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. (1969) | MR 0267430 | Zbl 0187.08103

J. Nečas Les équations elliptiques non linéaires, Czechoslovak Math. J. 19 (94) (1969), 252-274. (1969) | MR 0252829

W. Petry Existence theorems for a class of nonlinear operator equations, J. Math. Anal. Appl. (in print). | MR 0344958 | Zbl 0264.47042

W. Petry Generalized Hammerstein equation and integral equation of Hammerstein type | Zbl 0274.47034

M. I. Višik Boundary value problems for quasilinear strongly elliptic systems of divergent form, Soviet Math. Dokl. 2 (1961), 643-647. (1961)

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. (1963)

M. I. Višik Quasi-linear strongly elliptic systems of differential equations in divergence form, Trans. Moscow Math. Soc. 12 (1963), 140-208. (1963) | MR 0156085

P. P. Zabreiko The Schaefer method in the theory of Hammerstein Integral Equations, Math. USSR Sbornik 13 (1971), Nr. 3, 451-471. (1971)