02879nam a22004335i 4500 978-0-8176-4536-6 DE-He213 20260521092027.0 cr nn 008mamaa 100428s2007 xxu| s |||| 0|eng d 9780817645366 99780817645366 10.1007/978-0-8176-4536-6 doi 515.352 23 Costa, David G. author. An Invitation to Variational Methods in Differential Equations [electronic resource] / by David G. Costa. Boston, MA : Birkhäuser Boston, 2007. XII, 138 p. 9 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Critical 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 ?. This 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. MATHEMATICS. DIFFERENTIAL EQUATIONS. DIFFERENTIAL EQUATIONS, PARTIAL. MATHEMATICS. ORDINARY DIFFERENTIAL EQUATIONS. CALCULUS OF VARIATIONS AND OPTIMAL CONTROL, OPTIMIZATION. PARTIAL DIFFERENTIAL EQUATIONS. SpringerLink (Online service) Springer eBooks Printed edition: 9780817645359 http://dx.doi.org/10.1007/978-0-8176-4536-6 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35620 35620 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 515.352 2025-10-06 08:44:36 2025-10-06 ER