02741nam a22003855i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001600172100002900188245011200217264004600329300004300375336002600418337002600444338003600470347002400506505032400530520107600854650001701930650002801947650003701975650001702012650003702029650006202066650003602128710003402164773002002198776003602218856010102254978-0-8176-4536-6DE-He21320260521092027.0cr nn 008mamaa100428s2007    xxu|    s    |||| 0|eng d  a9780817645366  a997808176453667 a10.1007/978-0-8176-4536-62doi04a515.3522231 aCosta, David G.eauthor.13aAn Invitation to Variational Methods in Differential Equationsh[electronic resource] /cby David G. Costa. 1aBoston, MA :bBirkhäuser Boston,c2007.  aXII, 138 p. 9 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aCritical Points Via Minimization -- The Deformation Theorem -- The Mountain-Pass Theorem -- The Saddle-Point Theorem -- Critical Points under Constraints -- A Duality Principle -- Critical Points under Symmetries -- Problems with an S1-Symmetry -- Problems with Lack of Compactness -- Lack of Compactness for Bounded ?.  aThis book is a short introductory text to variational techniques with applications to differential equations. It presents a sampling of topics in critical point theory with applications to existence and multiplicity of solutions in nonlinear problems involving ordinary differential equations (ODEs) and partial differential equations (PDEs). Five simple problems in ODEs which illustrate existence of solutions from a variational point of view are introduced in the first chapter. These problems set the stage for the topics covered, including minimization, deformation results, the mountain-pass theorem, the saddle-point theorem, critical points under constraints, a duality principle, critical points in the presence of symmetry, and problems with lack of compactness. Each topic is presented in a straightforward manner, and followed by one or two illustrative applications. The concise, straightforward, user-friendly approach of this textbook will appeal to graduate students and researchers interested in differential equations, analysis, and functional analysis. 0aMATHEMATICS. 0aDIFFERENTIAL EQUATIONS. 0aDIFFERENTIAL EQUATIONS, PARTIAL.14aMATHEMATICS.24aORDINARY DIFFERENTIAL EQUATIONS.24aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL, OPTIMIZATION.24aPARTIAL DIFFERENTIAL EQUATIONS.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978081764535940uhttp://dx.doi.org/10.1007/978-0-8176-4536-6zVer el texto completo en las instalaciones del CICY