Editing Maximum principle (section)

==References==
===Research articles===
* Calabi, E. An extension of E. Hopf's maximum principle with an application to Riemannian geometry. Duke Math. J. 25 (1958), 45–56.
* Cheng, S.Y.; Yau, S.T. Differential equations on Riemannian manifolds and their geometric applications. Comm. Pure Appl. Math. 28 (1975), no. 3, 333–354. 
* Gidas, B.; Ni, Wei Ming; Nirenberg, L. Symmetry and related properties via the maximum principle. Comm. Math. Phys. 68 (1979), no. 3, 209–243.
* Gidas, B.; Ni, Wei Ming; Nirenberg, L. Symmetry of positive solutions of nonlinear elliptic equations in {{math|R<sup>''n''</sup>}}. Mathematical analysis and applications, Part A, pp.&nbsp;369–402, Adv. in Math. Suppl. Stud., 7a, Academic Press, New York-London, 1981.
* Hamilton, Richard S. Four-manifolds with positive curvature operator. J. Differential Geom. 24 (1986), no. 2, 153–179.
* E. Hopf. Elementare Bemerkungen Über die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus. Sitber. Preuss. Akad. Wiss. Berlin 19 (1927), 147-152.
* Hopf, Eberhard. A remark on linear elliptic differential equations of second order. Proc. Amer. Math. Soc. 3 (1952), 791–793.
* Nirenberg, Louis. A strong maximum principle for parabolic equations. Comm. Pure Appl. Math. 6 (1953), 167–177.
* Omori, Hideki. Isometric immersions of Riemannian manifolds. J. Math. Soc. Jpn. 19 (1967), 205–214.
* Yau, Shing Tung. Harmonic functions on complete Riemannian manifolds. Comm. Pure Appl. Math. 28 (1975), 201–228.
* Kreyberg, H. J. A. On the maximum principle of optimal control in economic processes, 1969 (Trondheim, NTH, Sosialøkonomisk institutt https://www.worldcat.org/title/on-the-maximum-principle-of-optimal-control-in-economic-processes/oclc/23714026)

===Textbooks===
*{{cite book |title=Fully Nonlinear Elliptic Equations |last=Caffarelli |first=Luis A. |authorlink=Luis Caffarelli |author2=Xavier Cabre |year=1995 |publisher=American Mathematical Society |location=Providence, Rhode Island |pages=31–41 |isbn=0-8218-0437-5}}
* Evans, Lawrence C. Partial differential equations. Second edition. Graduate Studies in Mathematics, 19. American Mathematical Society, Providence, RI, 2010. xxii+749 pp. {{ISBN|978-0-8218-4974-3}}
* Friedman, Avner. Partial differential equations of parabolic type. Prentice-Hall, Inc., Englewood Cliffs, N.J. 1964 xiv+347 pp.
* Gilbarg, David; Trudinger, Neil S. Elliptic partial differential equations of second order. Reprint of the 1998 edition. Classics in Mathematics. Springer-Verlag, Berlin, 2001. xiv+517 pp. {{ISBN|3-540-41160-7}}
* [[Olga Ladyzhenskaya|Ladyženskaja, O. A.]]; Solonnikov, V. A.; [[Nina Uraltseva|Uralʹceva, N. N.]] Linear and quasilinear equations of parabolic type. Translated from the Russian by S. Smith. Translations of Mathematical Monographs, Vol. 23 American Mathematical Society, Providence, R.I. 1968 xi+648 pp.
* [[Olga Ladyzhenskaya|Ladyzhenskaya, Olga A.]]; [[Nina Uraltseva|Ural'tseva, Nina N.]] Linear and quasilinear elliptic equations. Translated from the Russian by Scripta Technica, Inc. Translation editor: Leon Ehrenpreis. Academic Press, New York-London 1968 xviii+495 pp.
* Lieberman, Gary M. Second order parabolic differential equations. World Scientific Publishing Co., Inc., River Edge, NJ, 1996. xii+439 pp. {{ISBN|981-02-2883-X}} 
* Morrey, Charles B., Jr. Multiple integrals in the calculus of variations. Reprint of the 1966 edition. Classics in Mathematics. Springer-Verlag, Berlin, 2008. x+506 pp. {{ISBN|978-3-540-69915-6}}
* Protter, Murray H.; Weinberger, Hans F. Maximum principles in differential equations. Corrected reprint of the 1967 original. Springer-Verlag, New York, 1984. x+261 pp. {{ISBN|0-387-96068-6}}
*{{cite book
  | last = Rockafellar
  | first = R. T.|authorlink=R. Tyrrell Rockafellar
  | title = Convex analysis
  | publisher = Princeton University Press
  | date = 1970
  | location = Princeton
}}
* Smoller, Joel. Shock waves and reaction-diffusion equations. Second edition. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], 258. Springer-Verlag, New York, 1994. xxiv+632 pp. {{ISBN|0-387-94259-9}}

[[Category:Harmonic functions]]
[[Category:Partial differential equations]]
[[Category:Mathematical principles]]