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008 | 150903s2009 xxu| o |||| 0|eng d | ||
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_a9780387684178 _99780387684178 |
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024 | 7 |
_a10.1007/9780387684178 _2doi |
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_a201509030215 _bVLOAD _c201404121941 _dVLOAD _c201404091708 _dVLOAD _y201402041014 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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050 | 4 | _aQA641-670 | |
100 | 1 |
_aAgarwal, Ravi P. _eautor _9303350 |
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245 | 1 | 0 |
_aInequalities for Differential Forms / _cby Ravi P. Agarwal, Shusen Ding, Craig Nolder. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2009. |
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300 | _brecurso en línea. | ||
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_atexto _btxt _2rdacontent |
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_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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500 | _aSpringer eBooks | ||
505 | 0 | _aHardy–Littlewood inequalities -- Norm comparison theorems -- Poincaré-type inequalities -- Caccioppoli inequalities -- Imbedding theorems -- Reverse Hölder inequalities -- Inequalities for operators -- Estimates for Jacobians -- Lipschitz and norms. | |
520 | _aDuring the recent years, differential forms have played an important role in many fields. In particular, the forms satisfying the A-harmonic equations, have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds. This monograph is the first one to systematically present a series of local and global estimates and inequalities for differential forms. The presentation concentrates on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. Integral estimates for operators, such as homotopy operator, the Laplace-Beltrami operator, and the gradient operator are also covered. Additionally, some related topics such as BMO inequalities, Lipschitz classes, Orlicz spaces and inequalities in Carnot groups are discussed in the concluding chapter. An abundance of bibliographical references and historical material supplement the text throughout. This rigorous text requires a familiarity with topics such as differential forms, topology and Sobolev space theory. It will serve as an invaluable reference for researchers, instructors and graduate students in analysis and partial differential equations and could be used as additional material for specific courses in these fields. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
700 | 1 |
_aDing, Shusen. _eautor _9304553 |
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700 | 1 |
_aNolder, Craig. _eautor _9304554 |
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710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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776 | 0 | 8 |
_iEdición impresa: _z9780387360348 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-68417-8 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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