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020 _a9783031541230
_9978-3-031-54123-0
024 7 _a10.1007/978-3-031-54123-0
_2doi
050 4 _aQA299.6-433
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
072 7 _aPBK
_2thema
100 1 _aChipot, Michel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_980555
245 1 0 _aElliptic Equations: An Introductory Course
_h[electronic resource] /
_cby Michel Chipot.
250 _a2nd ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Birkhäuser,
_c2024.
300 _aXI, 397 p. 34 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aBirkhäuser Advanced Texts Basler Lehrbücher,
_x2296-4894
505 0 _aPart I Basic Techniques -- Hilbert Space Techniques -- A Survey of Essential Analysis -- Weak Formulation of Elliptic Problems -- Elliptic Problems in Divergence Form -- Singular Perturbation Problems -- Problems in Large Cylinders -- Periodic Problems -- Homogenization -- Eigenvalues -- Numerical Computations -- Part II More Advanced Theory -- Nonlinear Problems -- L∞-estimates -- Linear Elliptic Systems -- The Stationary Navier--Stokes System -- Some More Spaces -- Regularity Theory -- p-Laplace Type Equations -- The Strong Maximum Principle -- Problems in the Whole Space -- Large Solutions -- Mountain Pass Techniques.
520 _aThe aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form, it includes subjects as singular perturbations, homogenization, computations, asymptotic behavior of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes systems, p-Laplace type operators, large solutions, and mountain pass techniques. Just a minimum on Sobolev spaces has been introduced and work on integration on the boundary has been carefully avoided to keep the reader attention focused on the beauty and variety of these issues. The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original, and have not been published elsewhere. The book will be of interest to graduate students and researchers specializing in partial differential equations.
650 0 _aMathematical analysis.
_964178
650 1 4 _aAnalysis.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031541216
776 0 8 _iPrinted edition:
_z9783031541223
830 0 _aBirkhäuser Advanced Texts Basler Lehrbücher,
_x2296-4894
_980556
856 4 0 _uhttps://doi.org/10.1007/978-3-031-54123-0
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c61592
_d61592