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| 035 |
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|a (OCoLC)34986930
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| 035 |
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|9 AHA9678AM
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| 037 |
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|a 95-20381
|b UMI
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|a TXA
|c TXA
|d UtOrBLW
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| 049 |
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|a TXAM
|a TXAR
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| 099 |
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|a 1994
|a Dissertation
|a H4985
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| 100 |
1 |
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|a Hendricks, Thomas David,
|d 1965-
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| 245 |
1 |
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|a Existence of hypersurfaces of prescribed mean curvature /
|c by Thomas David Hendricks.
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| 264 |
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1 |
|a [Place of publication not identified] :
|b [publisher not identified] ;
|c 1994.
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| 300 |
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|a vi, 64 leaves :
|b illustrations ;
|c 28 cm.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a unmediated
|b n
|2 rdamedia
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| 338 |
|
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|a volume
|b nc
|2 rdacarrier
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| 504 |
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|a Includes bibliographical references.
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| 500 |
|
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|a Vita.
|
| 502 |
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|b Ph. D.
|c Texas A&M University
|d 1994.
|
| 500 |
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|a "Major Subject: Mathematics".
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| 530 |
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|a Issued also on microfiche from University Microfilms Inc.
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| 520 |
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|a Suppose W is a smooth domain in Rn+1 with Ln+l(W) < ², H :
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| 520 |
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|a W--- R is a continuous function with fW (h)n+1 dLn+1 <² and
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| 520 |
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|a (H(x)) < HaW(x) for all x E W, where 'HW is the mean
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| 520 |
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|a curvature for W. If B is a nonzero (n- l)-dimensional
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| 520 |
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|a integral boundary such that spt(B) is a smooth, compact (n -
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| 520 |
|
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|a l)-dimensional submanifold of W, then there exists an n-
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| 520 |
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|a dimensional integral current T with spt(T) c Q and OT = B
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| 520 |
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|a such that T has prescribed mean curvature H and spt(T) -
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| 520 |
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|a spt(B) is a smooth, n-dimensional submanifold of Q except
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| 520 |
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|a perhaps for a compact singular set
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| 520 |
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|a of Hausdorff dimension at most (n - 7). If B is a closed set
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| 520 |
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|a of Q and if there exists an appropriate triple cover of W ,
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| 520 |
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|a B, then there exists an n-dimensional flat chain modulo 3 R
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| 520 |
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|a with Spt3 (R) c W - B and Spt3 (aR) c B such that R has
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| 520 |
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|a prescribed mean curvature H for IIRI 13 -almost all points x
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| 520 |
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|a E Spt3 (R).
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| 650 |
|
4 |
|a Major mathematics.
|
| 856 |
4 |
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|a Texas A&M University
|b College Station
|c Cushing Memorial Library & Archives
|d Cushing: Theses & Disserertations (Remote Storage: 2-3 day retrieval)
|t 0
|e 1994 Dissertation H4985
|h Other scheme
|i unmediated -- volume
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|a 1994 Dissertation H4985
|t 0
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|t 0
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