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Maximum principle
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===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]]
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