Lectures on the ekeland variational principle with applications and detours (original) (raw)
1991, Acta Applicandae Mathematicae
AI-generated Abstract
This work presents a comprehensive overview of Ekeland's variational principle, detailing its applications across various fields of analysis. It includes foundational material, such as the concepts of lower semicontinuity, minimization of functionals, and duality mappings, alongside novel contributions like straightforward proofs and discussions on the geometry of Banach spaces. The notes aim to serve as an educational resource for students, linking theoretical concepts to practical applications, particularly in the realm of semilinear elliptic equations.
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