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Nonlinear elliptic boundary value problems. II. (English) Zbl 0127.31903

##### Keywords:
partial differential equations
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##### References:
 [1] Felix E. Browder, Functional analysis and partial differential equations. I, Math. Ann. 138 (1959), 55 – 79. · Zbl 0086.10301 [2] Felix E. Browder, On the spectral theory of elliptic differential operators. I, Math. Ann. 142 (1960/1961), 22 – 130. · Zbl 0104.07502 [3] Felix E. Browder, The solvability of non-linear functional equations, Duke Math. J. 30 (1963), 557 – 566. · Zbl 0119.32503 [4] Felix E. Browder, Variational boundary value problems for quasi-linear elliptic equations of arbitrary order, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 31 – 37. · Zbl 0117.07102 [5] Felix E. Browder, Variational boundary value problems for quasi-linear elliptic equations. II, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 592 – 598. · Zbl 0121.08301 [6] Felix E. Browder, Variational boundary value problems for quasi-linear elliptic equations. III, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 794 – 798. · Zbl 0158.12302 [7] Felix E. Browder, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862 – 874. · Zbl 0127.31901 [8] Felix E. Browder, Non-linear equations of evolution, Ann. of Math. (2) 80 (1964), 485 – 523. · Zbl 0127.33602 [9] Felix E. Browder, Strongly non-linear parabolic boundary value problems, Amer. J. Math. 86 (1964), 339 – 357. · Zbl 0143.33501 [10] -, Nonlinear parabolic boundary problems of arbitrary order, Bull. Amer. Math. Soc. 69 (1963), 860-863. · Zbl 0149.32602 [11] G. Köthe, Topologische lineare Räume, Vol. 1, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Bd. 107, Springer, Berlin, 1960. · Zbl 0093.11901 [12] Топологические методы в теорий нелинейных интеграл$$^{\приме}$$ных уравнений., Государств. Издат. Техн.-Теор. Лит., Мосцощ, 1956 (Руссиан). [13] -, On a new fixed point principle, Trudy Mat. Seminar Voronezh Univ. (1958), 87-90. (Russian) [14] Jean Leray and Jules Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 51 (1934), 45 – 78 (French). · Zbl 0009.07301 [15] George J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962), 341 – 346. · Zbl 0111.31202 [16] George J. Minty, Two theorems on nonlinear functional equations in Hilbert space, Bull. Amer. Math. Soc. 69 (1963), 691 – 692. · Zbl 0122.35403 [17] George J. Minty, on a ”monotonicity” method for the solution of non-linear equations in Banach spaces, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 1038 – 1041. · Zbl 0124.07303 [18] M. M. Vainberg, Variational methods for the study of nonlinear operators, Moscow, 1956. (Russian) [19] M. M. Vaĭnberg and R. I. Kačurovskiĭ, On the variational theory of non-linear operators and equations, Dokl. Akad. Nauk SSSR 129 (1959), 1199 – 1202 (Russian). · Zbl 0094.10801 [20] M. I. Višik, Solution of a system of quasilinear equations having divergence form, under periodic boundary conditions, Dokl. Akad. Nauk SSSR 137 (1961), 502 – 505 (Russian). [21] M. I. Višik, Boundary-value problems for quasilinear strongly elliptic systems of equations having divergence form, Dokl. Akad. Nauk SSSR 138 (1961), 518 – 521 (Russian). [22] -, Simultaneous quasi-linear equations with lower order terms, Dokl. Akad. Nauk SSSR 144 (1962), 13-16. Soviet Math. Dokl. 3 (1962), 629-633. [23] M. I. Višik, Quasi-linear strongly elliptic systems of differential equations of divergence form, Trudy Moskov. Mat. Obšč. 12 (1963), 125 – 184 (Russian).
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