From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation…
This text seeks to develop a unified framework of variational analysis and, in finite dimensions, provide an exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. It also covers set-convergence, set-valued ma…
"This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an …
"A systematic presentation of energy principles and variational methods The increasing use of numerical and computational methods in engineering and applied sciences has shed new light on the importance of energy principles and variational methods. Energy Principles and Variatio…
Springer-Handbuch der Mathematik
