MARC Record from harvard_bibliographic_metadata

LEADER: 02835cam a2200361Ia 4500
001 012904821-6
005 20140910154245.0
008 110707s2011 maua b 001 0 eng d
020 $a9780817681135
020 $a0817681132
035 0 $aocn740629963
040 $aBTCTA$beng$cBTCTA$dOHX$dIXA$dYDXCP$dBWX
050 4 $aQA377$b.A5295 2011
090 $aQA377$b.A5295 2011
100 1 $aAmbrosetti, A.$q(Antonio)
245 03 $aAn introduction to nonlinear functional analysis and elliptic problems /$cAntonio Ambrosetti, David Arcoya.
260 $aBoston :$bBirkhaüser,$cc2011.
300 $axii, 199 p. :$bill. ;$c25 cm.
490 1 $aProgress in nonlinear differential equations and their applications ;$vv. 82
504 $aIncludes bibliographical references (p. 193-196) and index.
505 0 $a1. Preliminaries -- 2. Some fixed point theorems -- 3. Local and global inversion theorems -- 4. Leray-Schauder topological degree -- 5. An outline of critical points -- 6. Bifurcation theory -- 7. Elliptic problems and functional analysis -- 8. Problems with A priori bounds -- 9. Asymptotically linear problems -- 10. Asymmetric nonlinearities -- 11. Superlinear problems -- 12. Quasilinear problems -- 13. Stationary states of evolution equations.
520 $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.
650 0 $aDifferential equations, Elliptic.
650 0 $aNonlinear functional analysis.
650 0 $aDifferentiable dynamical systems.
650 0 $aDifferential equations, partial.
650 0 $aFunctional analysis.
650 0 $aMathematics.
700 1 $aArcoya, David.
830 0 $aProgress in nonlinear differential equations and their applications ;$vv. 82.
988 $a20110927
049 $aCLSL
906 $0OCLC