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010   $a1-282-76028-9
010   $a9786612760280
010   $a981-281-417-5
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035   $a(EBL)731103
035   $a(OCoLC)670429445
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035   $a(PQKBTitleCode)TC0000411378
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100   $a20100803d2010      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 00$aAffine Bernstein problems and Monge-Ampe?re equations /$fAn-Min Li ... [et al.]
205   $a1st ed.
210   $aSingapore ;$aHackensack, N.J. $cWorld Scientific$dc2010
215   $a1 online resource (192 p.)
300   $aDescription based upon print version of record.
311   $a981-281-416-7 
320   $aIncludes bibliographical references (p. 173-177) and index.
327   $aPreface; Contents; 1. Basic Tools; 2. Local Equiaffine Hypersurfaces; 3. Local Relative Hypersurfaces; 4. The Theorem of Jorgens-Calabi-Pogorelov; 5. Affine Maximal Hypersurfaces; 6. Hypersurfaces with Constant Affine Mean Curvature; Bibliography; Index
330   $aIn this monograph, the interplay between geometry and partial differential equations (PDEs) is of particular interest. It is well-known that many geometric problems in analytic formulation lead to important classes of PDEs. The focus of this monograph is on variational problems and higher order PDEs for affine hypersurfaces. Affine maximal hypersurfaces are extremals of the interior variation of the affinely invariant volume. The corresponding Euler-Lagrange equation is a highly complicated nonlinear fourth order PDE. In recent years, the global study of such fourth order PDEs has received con
606   $aAffine differential geometry
606   $aMonge-Ampe?re equations
615  0$aAffine differential geometry.
615  0$aMonge-Ampe?re equations.
676   $a516.36
701   $aLi$b An-Min$f1946-$01669101
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910814561003321
996   $aAffine Bernstein problems and Monge-Ampe?re equations$94030162
997   $aUNINA