000 | 02919nam a22005175i 4500 | ||
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001 | 978-3-540-40915-1 | ||
003 | DE-He213 | ||
005 | 20190213151752.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2004 gw | s |||| 0|eng d | ||
020 |
_a9783540409151 _9978-3-540-40915-1 |
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024 | 7 |
_a10.1007/b96984 _2doi |
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050 | 4 | _aQA315-316 | |
050 | 4 | _aQA402.3 | |
050 | 4 | _aQA402.5-QA402.6 | |
072 | 7 |
_aPBKQ _2bicssc |
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072 | 7 |
_aMAT005000 _2bisacsh |
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072 | 7 |
_aPBKQ _2thema |
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072 | 7 |
_aPBU _2thema |
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082 | 0 | 4 |
_a515.64 _223 |
100 | 1 |
_aReichel, Wolfgang. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aUniqueness Theorems for Variational Problems by the Method of Transformation Groups _h[electronic resource] / _cby Wolfgang Reichel. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2004. |
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300 |
_aXIV, 158 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1841 |
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505 | 0 | _aIntroduction -- Uniqueness of Critical Points (I) -- Uniqueness of Citical Pints (II) -- Variational Problems on Riemannian Manifolds -- Scalar Problems in Euclidean Space -- Vector Problems in Euclidean Space -- Fréchet-Differentiability -- Lipschitz-Properties of ge and omegae. | |
520 | _aA classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity. | ||
650 | 0 | _aMathematical optimization. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aCalculus of Variations and Optimal Control; Optimization. _0http://scigraph.springernature.com/things/product-market-codes/M26016 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540218395 |
776 | 0 | 8 |
_iPrinted edition: _z9783662175231 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1841 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/b96984 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11819 _d11819 |