04239nam 22006855 450 991033824880332120240605235816.03-030-03430-5(CKB)4100000007746678(MiAaPQ)EBC5720242(DE-He213)978-3-030-03430-6(PPN)235004243(EXLCZ)99410000000774667820190226d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierNonlinear Analysis - Theory and Methods /by Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (586 pages)Springer Monographs in Mathematics,1439-73823-030-03429-1 Preface -- 1.Sobolev Spaces -- 2.Compact Operators and Operators of Monotone Type -- 3.Degree Theories -- 4.Partial Order, Fixed Point Theory, Variational Pronciples -- 5.Critical Point Theory -- 6.Morse Theory and Critical Groups -- References -- Index.This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.Springer Monographs in Mathematics,1439-7382Partial differential equationsMathematical physicsFunctional analysisGlobal analysis (Mathematics)Manifolds (Mathematics)Calculus of variationsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Global Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Partial differential equations.Mathematical physics.Functional analysis.Global analysis (Mathematics).Manifolds (Mathematics).Calculus of variations.Partial Differential Equations.Mathematical Physics.Functional Analysis.Global Analysis and Analysis on Manifolds.Calculus of Variations and Optimal Control; Optimization.Mathematical Applications in the Physical Sciences.530.15Papageorgiou Nikolaos Sauthttp://id.loc.gov/vocabulary/relators/aut1062930Rădulescu Vicenţiu D.1958-authttp://id.loc.gov/vocabulary/relators/autRepovš Dušanauthttp://id.loc.gov/vocabulary/relators/autBOOK9910338248803321Nonlinear Analysis - Theory and Methods2529269UNINA