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Schauder’s existence theorem for alpha-Dini continuous data. (English) Zbl 0506.35028


MSC:

35J25 Boundary value problems for second-order elliptic equations
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35J15 Second-order elliptic equations
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References:

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[12] Payne, L. E., New isoperimetric inequalities for eigenvalues and other physical quantities, Comm. Pure Appl. Math., 9, 531-542 (1956) · Zbl 0074.31405 · doi:10.1002/cpa.3160090323
[13] Pucci, C., Limitazioni per soluzioni di equazioni ellittiche, Ann. di Mat. pura et appl., 74, 4, 15-30 (1966) · Zbl 0144.35801 · doi:10.1007/BF02416445
[14] Schauder, J., Über lineare elliptische Differentialgleichungen zweiter Ordnung, Math. Z., 38, 257-282 (1934) · Zbl 0008.25502 · doi:10.1007/BF01170635
[15] Spanne, S., Some function spaces defined using the mean oscillation over cubes, Ann. Scuola Norm. Sup. Pisa, 19, 593-608 (1965) · Zbl 0199.44303
[16] Velte, W., Eigenwertheorie Steklowscher Systeme, Mitteilungen Giessen, 121, 125-137 (1976) · Zbl 0337.35056
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