Semilinear Elliptic Equations for Beginners Existence Results via the Variational Approach /

• Main Authors: Badiale, Marino (Author), Serra, Enrico (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Universitext
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Calculus of variations.; Analysis.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.

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 multit...

Table of Contents:

• Introduction and basic results
• Minimization techniques: compact problems
• Minimization techniques: lack of compactness
• Introduction to minimax methods
• Index of the main assumptions.