03500nam a22005415i 4500 978-3-031-54123-0 DE-He213 20251030112628.0 cr nn 008mamaa 240714s2024 sz | s |||| 0|eng d 9783031541230 978-3-031-54123-0 10.1007/978-3-031-54123-0 doi QA299.6-433 QA299.6-433 PBK bicssc PBK bicssc MAT034000 bisacsh PBK thema PBK thema Chipot, Michel. author. aut http://id.loc.gov/vocabulary/relators/aut 80555 Elliptic Equations: An Introductory Course [electronic resource] / by Michel Chipot. 2nd ed. 2024. Cham : Springer International Publishing : Imprint: Birkhäuser, 2024. XI, 397 p. 34 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Birkhäuser Advanced Texts Basler Lehrbücher, 2296-4894 Part 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. The 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. Mathematical analysis. 64178 Analysis. Analysis. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031541216 Printed edition: 9783031541223 Birkhäuser Advanced Texts Basler Lehrbücher, 2296-4894 80556 https://doi.org/10.1007/978-3-031-54123-0 ZDB-2-SMA ZDB-2-SXMS 61592 61592