LEADER 03117nam  22006735  450 
001 9910484299403321
005 20251113204638.0
010   $a9783642183638
010   $a3642183638
024 7 $a10.1007/978-3-642-18363-8
035   $a(CKB)2670000000076214
035   $a(SSID)ssj0000506047
035   $a(PQKBManifestationID)11313333
035   $a(PQKBTitleCode)TC0000506047
035   $a(PQKBWorkID)10513760
035   $a(PQKB)10390831
035   $a(DE-He213)978-3-642-18363-8
035   $a(MiAaPQ)EBC3066603
035   $a(PPN)151591377
035   $a(EXLCZ)992670000000076214
100   $a20110329d2011      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aLebesgue and Sobolev Spaces with Variable Exponents /$fby Lars Diening, Petteri Harjulehto, Peter Hästö, Michael Ruzicka
205   $a1st ed. 2011.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011.
215   $a1 online resource (IX, 509 p. 10 illus.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2017
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a9783642183621 
311 08$a364218362X 
320   $aIncludes bibliographical references and index.
327   $a1 Introduction -- 2 A framework for function spaces -- 3 Variable exponent Lebesgue spaces -- 4 The maximal operator -- 5 The generalized Muckenhoupt condition* -- 6 Classical operators -- 7 Transfer techniques -- 8 Introduction to Sobolev spaces -- 9. Density of regular functions -- 10. Capacities -- 11 Fine properties of Sobolev functions -- 12 Other spaces of differentiable functions -- 13 Dirichlet energy integral and Laplace equation -- 14 PDEs and fluid dynamics.
330   $aThe field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2017
606   $aMathematical analysis
606   $aFunctional analysis
606   $aDifferential equations
606   $aAnalysis
606   $aFunctional Analysis
606   $aDifferential Equations
615  0$aMathematical analysis.
615  0$aFunctional analysis.
615  0$aDifferential equations.
615 14$aAnalysis.
615 24$aFunctional Analysis.
615 24$aDifferential Equations.
676   $a515
700   $aDiening$b Lars$0478953
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484299403321
996   $aLebesgue and sobolev spaces with variable exponents$9261811
997   $aUNINA