Nonlinear elliptic boundary value problems. II
HTML articles powered by AMS MathViewer
- by Felix E. Browder PDF
- Trans. Amer. Math. Soc. 117 (1965), 530-550 Request permission
References
- Felix E. Browder, Functional analysis and partial differential equations. I, Math. Ann. 138 (1959), 55–79. MR 107818, DOI 10.1007/BF01369666
- Felix E. Browder, On the spectral theory of elliptic differential operators. I, Math. Ann. 142 (1960/61), 22–130. MR 209909, DOI 10.1007/BF01343363
- Felix E. Browder, The solvability of non-linear functional equations, Duke Math. J. 30 (1963), 557–566. MR 156204
- 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. MR 166474, DOI 10.1073/pnas.50.1.31
- Felix E. Browder, Variational boundary value problems for quasi-linear elliptic equations. II, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 592–598. MR 166475, DOI 10.1073/pnas.50.4.592
- Felix E. Browder, Variational boundary value problems for quasi-linear elliptic equations. III, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 794–798. MR 166476, DOI 10.1073/pnas.50.5.794
- Felix E. Browder, Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc. 69 (1963), 862–874. MR 156116, DOI 10.1090/S0002-9904-1963-11068-X
- Felix E. Browder, Non-linear equations of evolution, Ann. of Math. (2) 80 (1964), 485–523. MR 173960, DOI 10.2307/1970660
- Felix E. Browder, Strongly non-linear parabolic boundary value problems, Amer. J. Math. 86 (1964), 339–357. MR 166489, DOI 10.2307/2373169 —, Nonlinear parabolic boundary problems of arbitrary order, Bull. Amer. Math. Soc. 69 (1963), 860-863. G. Köthe, Topologische lineare Räume, Vol. 1, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Bd. 107, Springer, Berlin, 1960.
- M. A. Krasnosel′skiĭ, Topologicheskie metody v teoriĭ nelineĭnykh integral′nykh uravneniĭ, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956 (Russian). MR 0096983 —, On a new fixed point principle, Trudy Mat. Seminar Voronezh Univ. (1958), 87-90. (Russian)
- Jean Leray and Jules Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. (3) 51 (1934), 45–78 (French). MR 1509338, DOI 10.24033/asens.836
- George J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962), 341–346. MR 169064
- George J. Minty, Two theorems on nonlinear functional equations in Hilbert space, Bull. Amer. Math. Soc. 69 (1963), 691–692. MR 190778, DOI 10.1090/S0002-9904-1963-10986-6
- 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. MR 162159, DOI 10.1073/pnas.50.6.1038 M. M. Vainberg, Variational methods for the study of nonlinear operators, Moscow, 1956. (Russian)
- 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). MR 0114103
- 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). MR 0150453
- 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). MR 0150454 —, Simultaneous quasi-linear equations with lower order terms, Dokl. Akad. Nauk SSSR 144 (1962), 13-16. Soviet Math. Dokl. 3 (1962), 629-633.
- M. I. Višik, Quasi-linear strongly elliptic systems of differential equations of divergence form, Trudy Moskov. Mat. Obšč. 12 (1963), 125–184 (Russian). MR 0156085
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 117 (1965), 530-550
- MSC: Primary 35.47
- DOI: https://doi.org/10.1090/S0002-9947-1965-0173846-9
- MathSciNet review: 0173846