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An Introduction to Maximum Principles and Symmetry in Elliptic Problems

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An Introduction to Maximum Principles and Symmetry in Elliptic Problems - Fraenkel, L. E.
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Originally published in 2000, this was the first book to present the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of non-linear elliptic equations. Gidas, Ni and Nirenberg, building on work of Alexandrov and of Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of ...

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An Introduction to Maximum Principles and Symmetry in Elliptic Problems 2011, Cambridge University Press, Cambridge

ISBN-13: 9780521172783

Trade paperback

An Introduction to Maximum Principles and Symmetry in Elliptic Problems 2000, Cambridge University Press, Cambridge

ISBN-13: 9780521461955

Hardcover