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Petry, Walter
On the iterative construction of a solution of nonlinear elliptic boundary value problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 13 (1972), issue 3, pp. 479-492
MSC: 35J60, 47H15, 47J05, 49D10, 90C99 | MR 0320520 | Zbl 0241.35027
References:
[1] BROWDER F. E.: Nonlinear elliptic boundary value problems. Bull. Amer. Math. Soc. 69 (1963), 862-874. MR 0156116 | Zbl 0127.31901
[2] BROWDER F. E.: Nonlinear elliptic boundary value problems II. Trans. Amer. Math. Soc. 117 (1965), 530-550. MR 0173846 | Zbl 0127.31903
[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 0269962 | Zbl 0211.17204
[4] BROWDER F. R.: Nonlinear elliptic boundary value problems and the generalized topological degree. Bull. Amer. Math. Soc. 76 (1970), 999-1005. MR 0264222 | Zbl 0201.18401
[5] DUBINSKII Yu. A.: Quasilinear elliptic and parabolic equations of arbitrary order. Russian Math. Surveys 23 (1968), 45-91. MR 0228826
[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
[7] KRATOCHVÍL A.: Les méthodes approximatives de la solution des équations elliptiques non linéaires. Comment. Math. Univ. Caroline 9 (1968), 455-510. MR 0240646
[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 0194733 | Zbl 0132.10502
[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 0267430 | Zbl 0187.08103
[10] PETRY W.: Iterative Lösung gewisser nichtlinearer Operatorgleichungen mit Anwendung auf quasilineare Differentialgleichungen. Aequationes Mathematicae 5 (1971), 16-38. MR 0307465
[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 0150454
[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
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