03146nam a22004455i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001600153050001600169072001600185072001600201072002300217072001500240072001500255100007700270245009100347250001800438264007900456300004300535336002600578337002600604338003600630347002400666490006400690505063500754520101401389650002702403650001402430650001402444710003402458773002602492776003602518776003602554830006402590856004602654978-3-031-54123-0DE-He21320251030112628.0cr nn 008mamaa240714s2024    sz |    s    |||| 0|eng d  a97830315412307 a10.1007/978-3-031-54123-02doi 4aQA299.6-433 4aQA299.6-433 7aPBK2bicssc 7aPBK2bicssc 7aMAT0340002bisacsh 7aPBK2thema 7aPBK2thema1 aChipot, Michel.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aElliptic Equations: An Introductory Courseh[electronic resource] /cby Michel Chipot.  a2nd ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Birkhäuser,c2024.  aXI, 397 p. 34 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aBirkhäuser Advanced Texts Basler Lehrbücher,x2296-48940 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.  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. 0aMathematical analysis.14aAnalysis.24aAnalysis.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303154121608iPrinted edition:z9783031541223 0aBirkhäuser Advanced Texts Basler Lehrbücher,x2296-489440uhttps://doi.org/10.1007/978-3-031-54123-0