For each of the following functionals and associated boundary conditions, (i) write down a boundary value problem

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For each of the following functionals and associated boundary conditions, (i) write down a boundary value problem satisfied by the minimizing function, and (ii) find the minimizing function u,(x):
a.
For each of the following functionals and associated boundary conditions,

b.

For each of the following functionals and associated boundary conditions,

c.

For each of the following functionals and associated boundary conditions,

d.

For each of the following functionals and associated boundary conditions,
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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