03220nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001400172100003400186245013800220264004200358300004300400336002600443337002600469338003600495347002400531490007800555505049100633520112801124650001702252650003802269650002502307650003702332650001702369650002502386650003602411650004202447700002802489710003402517773002002551776003602571830007802607856010102685978-0-8176-8114-2DE-He21320260521092033.0cr nn 008mamaa110720s2011    xxu|    s    |||| 0|eng d  a9780817681142  a997808176811427 a10.1007/978-0-8176-8114-22doi04a515.72231 aAmbrosetti, Antonio.eauthor.13aAn Introduction to Nonlinear Functional Analysis and Elliptic Problemsh[electronic resource] /cby Antonio Ambrosetti, David Arcoya. 1aBoston :bBirkhäuser Boston,c2011.  aXII, 199p. 12 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aProgress in Nonlinear Differential Equations and Their Applications ;v820 aNotation -- Preliminaries -- Some Fixed Point Theorems -- Local and Global Inversion Theorems -- Leray-Schauder Topological Degree -- An Outline of Critical Points -- Bifurcation Theory -- Elliptic Problems and Functional Analysis -- Problems with A Priori Bounds -- Asymptotically Linear Problems -- Asymmetric Nonlinearities -- Superlinear Problems -- Quasilinear Problems -- Stationary States of Evolution Equations -- Appendix A Sobolev Spaces -- Exercises -- Index -- Bibliography.  aThis self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be applied to a range of model cases. An Introduction to Nonlinear Functional Analysis and Elliptic Problems is divided into two parts: the first discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, Leray-Schauder degree, critical point theory, and bifurcation theory; the second part shows how these abstract results apply to Dirichlet elliptic boundary value problems.  The exposition is driven by numerous prototype problems and exposes a variety of approaches to solving them. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis. 0aMATHEMATICS. 0aDIFFERENTIABLE DYNAMICAL SYSTEMS. 0aFUNCTIONAL ANALYSIS. 0aDIFFERENTIAL EQUATIONS, PARTIAL.14aMATHEMATICS.24aFUNCTIONAL ANALYSIS.24aPARTIAL DIFFERENTIAL EQUATIONS.24aDYNAMICAL SYSTEMS AND ERGODIC THEORY.1 aArcoya, David.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817681135 0aProgress in Nonlinear Differential Equations and Their Applications ;v8240uhttp://dx.doi.org/10.1007/978-0-8176-8114-2zVer el texto completo en las instalaciones del CICY