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Berger, M. S.

Orlicz spaces and nonlinear elliptic eigenvalue problems. (English) Zbl 0133.05301

Bull. Am. Math. Soc. 71, 898-902 (1965).
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Keywords:

partial differential equations
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\textit{M. S. Berger}, Bull. Am. Math. Soc. 71, 898--902 (1965; Zbl 0133.05301)
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References:

[1] Melvyn S. Berger, An eigenvalue problem for quasi-linear elliptic partial differential equations, Bull. Amer. Math. Soc. 71 (1965), 171 – 175. · Zbl 0125.33602
[2] Melvyn S. Berger, An eigenvalue problem for nonlinear elliptic partial differential equations, Trans. Amer. Math. Soc. 120 (1965), 145 – 184. · Zbl 0142.08402
[3] Melvyn S. Berger, A Sturm-Liouville theorem for nonlinear elliptic partial differential equations, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1277 – 1279. · Zbl 0173.43504
[4] Felix E. Browder, Variational methods for nonlinear elliptic eigenvalue problems, Bull. Amer. Math. Soc. 71 (1965), 176 – 183. · Zbl 0135.15802
[5] Ju. A. Dubinskiĭ, Some imbedding theorems in Orlicz classes, Dokl. Akad. Nauk SSSR 152 (1963), 529 – 532 (Russian).
[6] F. John and L. Nirenberg, On functions of bounded mean oscillation, Comm. Pure Appl. Math. 14 (1961), 415 – 426. · Zbl 0102.04302
[7] M. A. Krasnosel\(^{\prime}\)skiĭ and Ja. B. Rutickiĭ, Convex functions and Orlicz spaces, Translated from the first Russian edition by Leo F. Boron, P. Noordhoff Ltd., Groningen, 1961.
[8] Norman Levinson, Positive eigenfunctions for \Delta \?+\?\?(\?)=0, Arch. Rational Mech. Anal. 11 (1962), 258 – 272. · Zbl 0108.28902
[9] Norman G. Meyers, Mean oscillation over cubes and Hölder continuity, Proc. Amer. Math. Soc. 15 (1964), 717 – 721. · Zbl 0129.04002
[10] James Serrin, Local behavior of solutions of quasi-linear equations, Acta Math. 111 (1964), 247 – 302. · Zbl 0128.09101
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