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Nonlinear elliptic boundary value problems in Orlicz-Sobolev spaces. (English) Zbl 0218.35028


MSC:

35J65 Nonlinear boundary value problems for linear elliptic equations
Full Text: DOI

References:

[1] Browder, F. E., Nonlinear elliptic boundary value problems, Bull. Amer. Math. Soc., 69, 862-874 (1963) · Zbl 0127.31901
[2] Browder, F. E., Nonlinear elliptic functional equations in nonreflexive Banach spaces, Bull. Amer. Math. Soc., 72, 89-95 (1966) · Zbl 0135.17602
[3] Browder, F. E., Existence and Uniqueness Theorems for Solutions of Nonlinear Boundary Problems, (Proceedings of the Symposium on Applied Mathematics, Vol. 17 (1965), American Mathematical Society: American Mathematical Society Providence, R.I), 24-49 · Zbl 0145.35302
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[13] Visik, M. I., Boundary-value problems for quasilinear strongly elliptic systems in divergence form, Dokl. Akad. Nauk. SSSR, 138, 518-521 (1961) · Zbl 0104.32401
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[15] Visik, M. I., Solvability of the first boundary value problem for quasilinear equations with rapidly increasing coefficients in Orlicz classes, Dokl. Akad. Nauk. SSSR, 151, 758-761 (1963) · Zbl 0158.12403
[16] S. Weiss; S. Weiss
[17] Yosida, K., Functional Analysis (1965), Academic Press: Academic Press New York · Zbl 0126.11504
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