03229nam a22004695i 4500 978-0-85729-227-8 DE-He213 20260521092038.0 cr nn 008mamaa 101207s2011 xxk| s |||| 0|eng d 9780857292278 99780857292278 10.1007/978-0-85729-227-8 doi 515 23 Badiale, Marino. author. Semilinear Elliptic Equations for Beginners [electronic resource] : Existence Results via the Variational Approach / by Marino Badiale, Enrico Serra. London : Springer London, 2011. X, 199p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Universitext Introduction and basic results -- Minimization techniques: compact problems -- Minimization techniques: lack of compactness -- Introduction to minimax methods -- Index of the main assumptions. Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approach to these equations has experienced spectacular success in recent years, reaching a high level of complexity and refinement, with a multitude of applications. Additionally, some of the simplest variational methods are evolving as classical tools in the field of nonlinear differential equations. This book is an introduction to variational methods and their applications to semilinear elliptic problems. Providing a comprehensive overview on the subject, this book will support both student and teacher engaged in a first course in nonlinear elliptic equations. The material is introduced gradually, and in some cases redundancy is added to stress the fundamental steps in theory-building. Topics include differential calculus for functionals, linear theory, and existence theorems by minimization techniques and min-max procedures. Requiring a basic knowledge of Analysis, Functional Analysis and the most common function spaces, such as Lebesgue and Sobolev spaces, this book will be of primary use to graduate students based in the field of nonlinear partial differential equations. It will also serve as valuable reading for final year undergraduates seeking to learn about basic working tools from variational methods and the management of certain types of nonlinear problems. MATHEMATICS. GLOBAL ANALYSIS (MATHEMATICS). DIFFERENTIAL EQUATIONS, PARTIAL. MATHEMATICS. ANALYSIS. PARTIAL DIFFERENTIAL EQUATIONS. CALCULUS OF VARIATIONS AND OPTIMAL CONTROL, OPTIMIZATION. Serra, Enrico. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780857292261 Universitext http://dx.doi.org/10.1007/978-0-85729-227-8 Ver el texto completo en las instalaciones del CICY ZDB-2-SMA ddc ER 35919 35919 0 0 ddc 0 0 LE CICY CICY EL 2025-10-06 0 515 2025-10-06 08:44:43 2025-10-06 ER