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Browder, F.

Nonlinear elliptic boundary value problems. (English) Zbl 0127.31901

Bull. Am. Math. Soc. 69, 862-874 (1963).
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Cited in 151 Documents

Keywords:

partial differential equations
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[1] Felix E. Browder, Functional analysis and partial differential equations. I, Math. Ann. 138 (1959), 55 – 79. · Zbl 0086.10301 · doi:10.1007/BF01369666
[2] Felix E. Browder, The solvability of non-linear functional equations, Duke Math. J. 30 (1963), 557 – 566. · Zbl 0119.32503
[3] 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
[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] F. E. Browder, Variational boundary value problems for quasilinear elliptic equations. III, Proc. Nat. Acad. Sci. U.S.A. (to appear). · Zbl 0158.12302
[6] P. D. Lax and A. N. Milgram, Parabolic equations, Contributions to the theory of partial differential equations, Annals of Mathematics Studies, no. 33, Princeton University Press, Princeton, N. J., 1954, pp. 167 – 190. · Zbl 0058.08703
[7] George J. Minty, Monotone (nonlinear) operators in Hilbert space, Duke Math. J. 29 (1962), 341 – 346. · Zbl 0111.31202
[8] 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
[9] 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).
[10] 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).
[11] M. I. Višik, Quasilinear elliptic systems of equations containing subordinate terms, Dokl. Akad. Nauk SSSR 144 (1962), 13 – 16 (Russian).
[12] M. I. Višik and O. A. Ladyženskaya, Boundary value problems for partial differential equations and certain classes of operator equations, Uspehi Mat. Nauk (N.S.) 11 (1956), no. 6(72), 41 – 97 (Russian).
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