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020 _a9783031676017
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024 7 _a10.1007/978-3-031-67601-7
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
100 1 _aFrank, Rupert.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987768
245 1 0 _aGeometric and Analytic Aspects of Functional Variational Principles
_h[electronic resource] :
_bCetraro, Italy 2022 /
_cby Rupert Frank, Giuseppe Mingione, Lubos Pick, Ovidiu Savin, Jean Van Schaftingen ; edited by Andrea Cianchi, Vladimir Maz'ya, Tobias Weth.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aIX, 320 p. 9 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aC.I.M.E. Foundation Subseries,
_x2946-1820 ;
_v2348
505 0 _a- The Sharp Sobolev Inequality and its Stability: An Introduction -- Nonlinear Potential Theoretic Methods in Nonuniformly Elliptic Problems -- Reduction Principles -- The Monge-Ampere Equation -- Injective Ellipticity, Cancelling Operators, and Endpoint Gagliardo-Nirenberg-Sobolev Inequalities for Vector Fields.
520 _aThis book is dedicated to exploring optimization problems of geometric-analytic nature, which are fundamental to tackling various unresolved questions in mathematics and physics. These problems revolve around minimizing geometric or analytic quantities, often representing physical energies, within prescribed collections of sets or functions. They serve as catalysts for advancing methodologies in calculus of variations, partial differential equations, and geometric analysis. Furthermore, insights from optimal functional-geometric inequalities enhance analytical problem-solving endeavors. The contributions focus on the intricate interplay between these inequalities and problems of differential and variational nature. Key topics include functional and geometric inequalities, optimal norms, sharp constants in Sobolev-type inequalities, and the regularity of solutions to variational problems. Readers will gain a comprehensive understanding of these concepts, deepening their appreciation for their relevance in mathematical and physical inquiries.
650 0 _aMathematical analysis.
_964178
650 0 _aDifferential equations.
650 1 4 _aAnalysis.
650 2 4 _aDifferential Equations.
700 1 _aMingione, Giuseppe.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987769
700 1 _aPick, Lubos.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987770
700 1 _aSavin, Ovidiu.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987771
700 1 _aVan Schaftingen, Jean.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_987772
700 1 _aCianchi, Andrea.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_987773
700 1 _aMaz'ya, Vladimir.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_987774
700 1 _aWeth, Tobias.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_987775
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031676000
776 0 8 _iPrinted edition:
_z9783031676024
830 0 _aC.I.M.E. Foundation Subseries,
_x2946-1820 ;
_v2348
_985459
856 4 0 _uhttps://doi.org/10.1007/978-3-031-67601-7
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-LNM
999 _c65076
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