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Miller, Keith

Barriers on cones for uniformly elliptic operators. (English) Zbl 0149.32101

Ann. Mat. Pura Appl., IV. Ser. 76, 93-105 (1967).
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Cited in 53 Documents

Keywords:

partial differential equations
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[1] A. D. Aleksandrof,Research on the maximum principle (in Russian), « Izv. Vyss. Ucebn. Zaned. Matematika », 1958 No. 5; 1959 No. 3 and 5; 1960 No. 3 and 5; 1961 No. 1, pp. 1-20; see also Soviet Mathematics (1960) pp. 1151-1154.
[2] Aleksandrov, A. D., Uniqueness conditions and bounds for the solution of the Dirichlet problem, Vestnich Leningrad. Univ. Ser. Mat. Mech. Astron., 18, 3, 5-29 (1963) · Zbl 0139.05702
[3] Hopf, E., Elementare Bemerkungen über die Lösungen partialler Differentialgleichungen zweiter Ordnung vom elliptischen Typus, Sitzungsberichte Berlin Akad. Wiss., 19, 147-152 (1927) · JFM 53.0454.02
[4] Littman, W.; Stampacchia, G.; Weinberger, H. F., Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. Pisa, XVII, 45-79 (1963) · Zbl 0116.30302
[5] Miller, K., Nonexistence of an a priori bound at the center in terms of an L_1 bound on the boundary for solutions of uniformly elliptic equations on a sphere, Ann. Mat. Pura Appl., LXXIII, 11-16 (1966) · Zbl 0144.14502
[6] Miranda, C., Equazioni alle Derivate Parziali di Tipo Ellitico, 120-128 (1955), Berlin: Springer, Berlin · Zbl 0065.08503
[7] Petrovsky, I. G., Lectures on Partial Differential Equations (1954), New York: Interscience Publishers, New York · Zbl 0059.08402
[8] Pucci, C., Proprietà di massimo e minimo delle soluzioni di equazioni a derivate parziali del secondo ordine di tipo ellittico e parabolico, Rend. accad. naz. lincei (Classe di scienze fisiche, mat. e naturali), 23, 6-6 (1957)
[9] C. Pucci,Lectures on the Cauchy Problem and on Elliptic Equations, « Nat. Science Found. Summer Inst. in Applied Math » Rice University 1963.
[10] Pucci, C., Regolarità alla frontiera di soluzioni di equazioni ellittiche, Ann. Mat. Pura Appl., LXV, 311-328 (1964) · Zbl 0135.15402
[11] Pucci, C., Operatori ellitici estremanti, Ann. Mat. Pura Appl., LXXII, 141-170 (1966) · Zbl 0154.12402
[12] C. Pucci,Limitazioni per soluzioni di equazioni ellittiche, « Ann. Mat. Pura Appl. LXXIV », (1966). · Zbl 0144.35801
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