Abstract
Let u( x 1, … , x n ) denote a twice continuously differentiate function of x 1, … , x n in some region R. We write ∂u/∂x i = u i , ∂ 2 u/∂x i ∂x k = u ik , and occasionally (x) for (x 1, … , x n ). A point (c) = (c 1, … , c n ) of R may be called a proper maximum of u, if u i (c) = 0 for i = 1, · · · n,
for all (ξ 1, …, ξ n ) ≠ (0, …, 0).
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© 1985 Springer Science+Business Media New York
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John, F. (1985). A Note on the Maximum Principle for Elliptic Differential Equations. In: Moser, J. (eds) Fritz John. Contemporary Mathematicians. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-5406-5_11
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DOI: https://doi.org/10.1007/978-1-4612-5406-5_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-5408-9
Online ISBN: 978-1-4612-5406-5
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