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・ Hilbert's problems
・ Hilbert's program
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・ Hilbert's seventeenth problem
・ Hilbert's seventh problem
・ Hilbert's sixteenth problem
・ Hilbert's sixth problem
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・ Hilbert's theorem
・ Hilbert's theorem (differential geometry)
・ Hilbert's Theorem 90
・ Hilbert's third problem
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Hilbert's twentieth problem
・ Hilbert's twenty-first problem
・ Hilbert's twenty-fourth problem
・ Hilbert's twenty-second problem
・ Hilbert's twenty-third problem
・ Hilbert, West Virginia
・ Hilbert, Wisconsin
・ Hilbert–Bernays paradox
・ Hilbert–Bernays provability conditions
・ Hilbert–Burch theorem
・ Hilbert–Huang transform
・ Hilbert–Kunz function
・ Hilbert–Mumford criterion
・ Hilbert–Poincaré series
・ Hilbert–Pólya conjecture


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Hilbert's twentieth problem : ウィキペディア英語版
Hilbert's twentieth problem
Hilbert's twentieth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It asks whether all boundary value problems can be solved (that is, do variational problems with certain boundary conditions have solutions).
==Introduction==
Hilbert noted that there existed methods for solving partial differential equations where the function's values were given at the boundary, but the problem asked for methods for solving partial differential equations with more complicated conditions on the boundary (e.g., involving derivatives of the function), or for solving calculus of variation problems in more than 1 dimension (for example, minimal surface problems or minimal curvature problems)

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