Titlebook: Nonlinear Functional Analysis and its Applications; III: Variational Met Eberhard Zeidler Textbook 1985 Springer Science+Business Media New

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Free Local Extrema of Differentiable Functionals and the Calculus of VariationsIn this chapter, in an elementary way, we generalize the known classical criteria, mentioned in Section 37.1, for free local extrema of differentiate real functions to functionals. Theorem 40.A in Section 40.2 forms the foundation of the classical calculus of variations.

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Potential OperatorsTogether with the minimum problem.we consider the Euler equation.and ask the following questions:

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Convex Functionals on Convex Sets and Convex AnalysisOver the last 20 years, parallel to the theory of monotone operators, a calculus for the investigation of convex functionals designated by convex analysis has emerged, which allows one to solve a number of problems in a simple way. To this calculus belong:

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