Bulletin of the American Mathematical Society

MathSciNet review: 3363153
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Book Information:

Authors: G. Kresin and V. Maz’ya
Title: Maximum principles and sharp constants for solutions of elliptic and parabolic systems
Additional book information: Mathematical Surveys and Monographs, vol.\ 183, American Mathematical Society, Providence, RI, 2012, viii+317 pp., ISBN 978-0-8218-8981-7, US $96.00.

Lawrence C. Evans, Partial differential equations, 2nd ed., Graduate Studies in Mathematics, vol. 19, American Mathematical Society, Providence, RI, 2010. MR 2597943, DOI 10.1090/gsm/019

L. E. Fraenkel, An introduction to maximum principles and symmetry in elliptic problems, Cambridge Tracts in Mathematics, vol. 128, Cambridge University Press, Cambridge, 2000. MR 1751289, DOI 10.1017/CBO9780511569203

Fritz John, Partial differential equations, 4th ed., Applied Mathematical Sciences, vol. 1, Springer-Verlag, New York, 1982. MR 831655, DOI 10.1007/978-1-4684-9333-7

Dmitry Khavinson, An extremal problem for harmonic functions in the ball, Canad. Math. Bull. 35 (1992), no. 2, 218–220. MR 1165171, DOI 10.4153/CMB-1992-031-8

Julián López-Gómez, Linear Second Order Elliptic Operators, World Scientific, Singapore, 2013.

Carlo Miranda, Partial differential equations of elliptic type, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 2, Springer-Verlag, New York-Berlin, 1970. Second revised edition. Translated from the Italian by Zane C. Motteler. MR 0284700

Patrizia Pucci and James Serrin, The maximum principle, Progress in Nonlinear Differential Equations and their Applications, vol. 73, Birkhäuser Verlag, Basel, 2007. MR 2356201

Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Springer-Verlag, New York, 1984. Corrected reprint of the 1967 original. MR 762825, DOI 10.1007/978-1-4612-5282-5

J. Radon, Uber die randwertaufgaben beim logaritmischen potential, Sitz.-Ber. Akad. Wiss. Wien Math. naturw. Kl 128 (1919), 1123–1167.

René P. Sperb, Maximum principles and their applications, Mathematics in Science and Engineering, vol. 157, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 615561

• Lawrence C. Evans, Partial differential equations, 2nd ed., Graduate Studies in Mathematics, vol. 19, American Mathematical Society, Providence, RI, 2010. MR 2597943 (2011c:35002)
• L. E. Fraenkel, An introduction to maximum principles and symmetry in elliptic problems, Cambridge Tracts in Mathematics, vol. 128, Cambridge University Press, Cambridge, 2000. MR 1751289 (2001c:35042), DOI 10.1017/CBO9780511569203
• Fritz John, Partial differential equations, 4th ed., Applied Mathematical Sciences, vol. 1, Springer-Verlag, New York, 1982. MR 831655 (87g:35002), DOI 10.1007/978-1-4684-9333-7
• Dmitry Khavinson, An extremal problem for harmonic functions in the ball, Canad. Math. Bull. 35 (1992), no. 2, 218–220. MR 1165171 (93d:31005), DOI 10.4153/CMB-1992-031-8
• Julián López-Gómez, Linear Second Order Elliptic Operators, World Scientific, Singapore, 2013.
• Carlo Miranda, Partial differential equations of elliptic type, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 2, Springer-Verlag, New York-Berlin, 1970. Second revised edition. Translated from the Italian by Zane C. Motteler. MR 0284700 (44 \#1924)
• Patrizia Pucci and James Serrin, The maximum principle, Progress in Nonlinear Differential Equations and their Applications, 73, Birkhäuser Verlag, Basel, 2007. MR 2356201 (2008m:35001)
• Murray H. Protter and Hans F. Weinberger, Maximum principles in differential equations, Springer-Verlag, New York, 1984. Corrected reprint of the 1967 original. MR 762825 (86f:35034), DOI 10.1007/978-1-4612-5282-5
• J. Radon, Uber die randwertaufgaben beim logaritmischen potential, Sitz.-Ber. Akad. Wiss. Wien Math. naturw. Kl 128 (1919), 1123–1167.
• René P. Sperb, Maximum principles and their applications, Mathematics in Science and Engineering, vol. 157, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981. MR 615561 (84a:35033)