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008 150903s2009 xxu| o |||| 0|eng d
020 _a9780387684178
_99780387684178
024 7 _a10.1007/9780387684178
_2doi
035 _avtls000331863
039 9 _a201509030215
_bVLOAD
_c201404121941
_dVLOAD
_c201404091708
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA641-670
100 1 _aAgarwal, Ravi P.
_eautor
_9303350
245 1 0 _aInequalities for Differential Forms /
_cby Ravi P. Agarwal, Shusen Ding, Craig Nolder.
264 1 _aNew York, NY :
_bSpringer New York,
_c2009.
300 _brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
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
700 1 _aNolder, Craig.
_eautor
_9304554
710 2 _aSpringerLink (Servicio en línea)
_9299170
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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