Attouch, H., Buttazzo, G., Michaille, G.: Variational analysis in Sobolev and BV spaces. In: MPS/SIAM Series on Optimization, vol. 6, p. xii+634. Society for Industrial and Applied Mathematics (SIAM), Philadelphia (2006). ISBN: 0-89871-600-4
Bonnans, J.F.: Second-order analysis for control constrained optimal control problems of semilinear elliptic systems. Appl. Math. Optim. Int. J. Appl. Stoch. 38(3), 303–325 (1998). doi:10.1007/s002459900093. ISSN: 0095-4616
Bonnans, J.F., Shapiro, A.: Perturbation Analysis of Optimization Problems. Springer, Berlin (2000)
Brézis, H., Browder, F.: A property of Sobolev spaces. Commun. Partial Differ. Equ. 4(9), 1077–1083 (1979). doi:10.1080/03605307908820120. ISSN: 0360-5302
Clarkson, K.L.: A probabilistic algorithm for the post office problem. In: Proceedings of the Seventeenth Annual ACM Symposium on Theory of Computing. STOC ’85. ACM, Providence, pp. 175–184. (1985). doi:10.1145/22145.22165
Clarkson, K.L.: New applications of random sampling in computational geometry. Discret. Comput. Geom. Int. J. Math. Comput. Sci. 2(2), 195–222 (1987). doi:10.1007/BF02187879. ISSN: 0179-5376
Dal Maso, G., Musina, R.: An approach to the thin obstacle problem for variational functionals depending on vector valued functions. Commun. Partial Differ. Equ. 14(12), 1717–1743 (1989). doi:10.1080/03605308908820673. ISSN: 0360-5302
Delfour, M., Zolésio, J.-P.: Shapes and Geometries. Analysis, Differential Calculus, and Optimization. SIAM, Philadelphia (2001)
Diestel, J., Uhl, J.: Vector Measures. Mathematical Surveys and Monographs. American Mathematical Society, Providence (1977)
Frémiot, G., Horn, W., Laurain, A., Rao, M., Sokołowski, J.: On the analysis of boundary value problems in nonsmooth domains. Dissertationes Mathematicae (Rozprawy Matematyczne) 462, 462 (2009). doi:10.4064/dm462-0-1. ISSN: 0012-3862
Fukushima, M., Ōshima, Y., Takeda, M.: Dirichlet forms and symmetric Markov processes. In: de Gruyter Studies in Mathematics. vol. 19, p. x+392. Walter de Gruyter & Co., Berlin (1994). doi:10.1515/9783110889741. ISBN: 3-11-011626-X
Grünbaum, B.: Convex polytopes. With the cooperation of Victor Klee. In: Perles, M.A., Shephard, G.C. (eds.) Pure and Applied Mathematics, vol. 16, p. xiv+456. Interscience Publishers, Wiley, Interscience Publishers John Wiley & Sons, Inc. (1967)
Grun-Rehomme, M.: Caractérisation du sous-différentiel d’intégrandes convexes dans les espaces de Sobolev. J. Math. Pures Appl. Neuv. Sér. 56(2), 149–156 (1977). ISSN: 0021-7824
Haraux, A.: How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities. J. Math. Soc. Japn. 29(4), 615–631 (1977). ISSN: 0025-5645
Heinonen, J., Kilpeläinen, T., Martio, O.: Nonlinear potential theory of degenerate elliptic equations. In: Oxford Mathematical Monographs. Oxford Science Publications, The Clarendon Press, Oxford University Press, New York (1993). ISBN 0-19-853669-0
Hildebrandt, S., Widman, K.O.: Variational inequalities for vector-valued functions. J. für die Reine Angew. Math. 309, 191–220 (1979). ISSN: 0075-4102
Hintermüller, M., Surowiec, T.: First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. SIAM J. Optim. 21(4), 1561–1593 (2011). doi:10.1137/100802396. ISSN: 1052-6234
Kilpeläinen, T., Malý, J.: Supersolutions to degenerate elliptic equation on quasi open sets. Communications in Partial Differential Equations 17(3–4), 371–405 (1992). doi:10.1080/03605309208820847. ISSN: 0360-5302
Krejčí, P.: Evolution variational inequalities and multidimensional hysteresis operators. In: Non-linear Differential Equations (Chvalatice, 1998). Chapman & Hall/CRC Research Notes in Mathematics, vol. 404, Chapman & Hall/CRC, Boca Raton, pp. 47–110 (1999)
Mancini, G., Musina, R.: Surfaces of minimal area enclosing a given body in R\(^{3}\). Ann. della Scuola Normale Super Pisa. Cl. Sci. Ser. IV 16(3), 331–354 (1989). ISSN: 0391-173X
Marcus, M., Mizel, V.J.: Absolute continuity on tracks and mappings of Sobolev spaces. Arch. Ration. Mech. Anal. 45, 294–320 (1972). doi:10.1007/BF00251378. ISSN: 0003-9527
Marcus, M., Mizel, V.J.: Nemitsky operators on Sobolev spaces. Arch. Ration. Mech. Anal. 51, 347–370 (1973). doi:10.1007/BF00263040
Mignot, F.: Contrôle dans les inéquations variationelles elliptiques. J. Function. Anal. 22(2), 130–185 (1976)
Rao, M., Sokołowski, J.: Polyhedricity of convex sets in Sobolev space \(H_{0}^{2} (\Omega )\). Nagoya Math. J. 130, 101–110 (1993). ISSN: 0027-7630
Rudin, W.: Real and Complex Analysis. McGraw-Hill, New York (1987)
Schneider, R.: Convex bodies: the Brunn-Minkowski theory. In: Encyclopedia of Mathematics and its Applications. vol. 151, pp. xxii+736. Cambridge University Press, Cambridge. (2014) ISBN: 978-1-107-60101-7
Sokołowski, J., Zolésio, J.-P.: Introduction to Shape Optimization. Springer, New York (1992)
Sokołowski, J., Zolésio, J.-P.: Shape sensitivity analysis of unilateral problems. SIAM J. Math. Anal. 18(5), 1416–1437 (1987). doi:10.1137/0518103. ISSN: 0036-1410
Wachsmuth, G.: Strong stationarity for optimal control of the obstacle problem with control constraints. SIAM J. Optim. 24(4), 1914–1932 (2014). doi:10.1137/130925827
Wachsmuth, G.: Mathematical Programs with Complementarity Constraints in Banach Spaces. J. Optim. Theory Appl. 166(2), 480–507 (2015). doi:10.1007/s10957-014-0695-3. ISSN: 0022-3239