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CONTINUITY CALCULUS PROBLEMS MANUAL

Principios de intervención en educación (80.531).Ziemer, “Weakly Differentiable Functions”, Springer-Verlag, Berlin, 1989. Stampacchia, On some regular multiple integral problems in the calculus of variations, Comm.

Morrey, “Multiple Integrals in the Calculus of Variations”, Springer-Verlag, New York, 1966. Miranda, Un teorema di esistenza e unicità per il problema dell'area minima in n variabili, Ann. Treu, Gradient maximum principle for minima, J. Treu, Existence and Lipschitz regularity for minima, Proc. Marcellini, Regularity for some scalar variational problems under general growth conditions, J. Nirenberg, On spherical image maps whose Jacobians do not change sign, Amer. Hartman, On the bounded slope condition, Pacific J. Giusti, “Direct Methods in the Calculus of Variations” World Scientific, Singapore, 2003. Trudinger, “Elliptic Partial Differential Equations of Second Order”, Springer-Verlag, Berlin, 1998. Giaquinta, “Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems”, Princeton University Press, Princeton, N.J., 1983. Gariepy, “Measure Theorey and Fine Properties of Functions”, CRC Press, Boca Raton, FL, 1992. De Arcangelis, Some remarks on the identity between a variational integral and its relaxed functional, Ann. Wolenski, “Nonsmooth Analysis and Control Theory”, Graduate Texts in Mathematics, vol. Sinestrari, “Semiconcave Functions, Hamilton-Jacobi Equations, and Optimal Control”, Birkhäuser, Boston, 2004. Belloni, A survey on old and recent results about the gap phenomenon, In: “Recent Developments in Well-Posed Variational Problems”, R. Clarke, Local Lipschitz continuity of solutions to a basic problem in the calculus of variations, to appear. Bousquet, On the lower bounded slope condition, to appear.
