Sobolev spaces in mathematics I : Sobolev type inequalities

This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a...

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主要作者: Maz½â, Vladimir Gilelevič, 1937- (Éditeur intellectuel)
格式: Livre numérique
語言:Anglais
出版: New York, NY : Springer New York [20..].
Cham : Springer Nature
版:1st ed. 2009.
叢編:International Mathematical Series 8
主題:
在線閱讀:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
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提示: Description d'après consultation du 20 octobre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Sobolev spaces in mathematics I, Sobolev type inequalities, Vladimir Maz'ya, ed., [New York], Springer, Tamara Rozhkovskaya, 2009, 1 vol. (XXIX-378 p.), International mathematical series, 978-0-387-85647-6
• Sobolev Spaces in Mathematics I, Texte imprimé, 9780387856629
• Sobolev Spaces in Mathematics I, Texte imprimé, 9781441927576
• Sobolev Spaces in Mathematics I, Texte imprimé, 9780387856476
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505 1 |a My Love Affair with the Sobolev Inequality Maximal Functions in Sobolev Spaces Hardy Type Inequalities via Riccati and Sturm Liouville Equations Quantitative Sobolev and Hardy Inequalities, and Related Symmetrization Principles Inequalities of Hardy Sobolev Type in Carnot Carathéodory Spaces Sobolev Embeddings and Hardy Operators Sobolev Mappings between Manifolds and Metric Spaces A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions Optimality of Function Spaces in Sobolev Embeddings On the Hardy Sobolev Maz'ya Inequality and Its Generalizations Sobolev Inequalities in Familiar and Unfamiliar Settings A Universality Property of Sobolev Spaces in Metric Measure Spaces Cocompact Imbeddings and Structure of Weakly Convergent Sequences 
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520 |a This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a good case to gather experts for presenting the latest results on the study of Sobolev inequalities which play a fundamental role in analysis, the theory of partial differential equations, mathematical physics, and differential geometry. In particular, the following topics are discussed: Sobolev type inequalities on manifolds and metric measure spaces, traces, inequalities with weights, unfamiliar settings of Sobolev type inequalities, Sobolev mappings between manifolds and vector spaces, properties of maximal functions in Sobolev spaces, the sharpness of constants in inequalities, etc. The volume opens with a nice survey reminiscence My Love Affair with the Sobolev Inequality by David R. Adams. Contributors include: David R. Adams (USA); Daniel Aalto (Finland) and Juha Kinnunen (Finland); Sergey Bobkov (USA) and Friedrich Götze (Germany); Andrea Cianchi (Italy); Donatella Danielli (USA), Nicola Garofalo (USA), and Nguyen Cong Phuc (USA); David E. Edmunds (UK) and W. Desmond Evans (UK); Piotr Hajlasz (USA); Vladimir Maz'ya (USA-UK-Sweden) and Tatyana Shaposhnikova USA-Sweden); Luboš Pick (Czech Republic); Yehuda Pinchover (Israel) and Kyril Tintarev (Sweden); Laurent Saloff-Coste (USA); Nageswari Shanmugalingam (USA) 
650 |a Sobolev, Espaces de 
650 |a Équations aux dérivées partielles 
650 |a Problèmes aux limites 
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