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Maximum principles for some quasilinear second order partial differential equations. (English) Zbl 0247.35038

MSC:

35B45 A priori estimates in context of PDEs
35J25 Boundary value problems for second-order elliptic equations
35J15 Second-order elliptic equations
35J60 Nonlinear elliptic equations
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References:

[1] Horá O. and Výborný , R. : Über eine fastlineare partielle Differentialgleichung vom nichthyperbolischen Typus , Comment. Math. Univ. Carolinae , 7 ( 1966 ), 261 - 264 . MR 206516 | Zbl 0141.29602 · Zbl 0141.29602
[2] Redheffer , R.M. : An extension of certain maximum principles , Monatsh. Math ., 66 ( 1962 ), 32 - 42 . MR 142879 | Zbl 0115.31201 · Zbl 0115.31201
[3] Výborný , R. : On a certain extension of the maximum principle , Conference on Differential Equations and their applications, Prague , 1962 , pp. 223 - 228 . MR 173860 | Zbl 0145.36703 · Zbl 0145.36703
[4] Miranda , C. : Equazioni alle derivate parziali di tipo ellittico , Springer , 1955 . MR 87853 | Zbl 0065.08503 · Zbl 0065.08503
[5] Pucci , C. : Proprietà di massimo e minimo delle soluzioni di equazioni a derivate parziale del secondo ordine di tipo ellittico e parabolico, I, II Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis. Mat. Nat. ( 8 ), 23 ( 1957 ), 370 - 375 ; 24 ( 1958 ), 3 - 6 . MR 107745 | Zbl 0088.30501 · Zbl 0088.30501
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