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Quasi-convexity and lower semi-continuity of multiple variational integrals of any order. (English) Zbl 0166.38501

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[1] S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math. 12 (1959), 623 – 727. · Zbl 0093.10401
[2] Norman G. Meyers and James Serrin, \?=\?, Proc. Nat. Acad. Sci. U.S.A. 51 (1964), 1055 – 1056.
[3] Charles B. Morrey Jr., Quasi-convexity and the lower semicontinuity of multiple integrals, Pacific J. Math. 2 (1952), 25 – 53. · Zbl 0046.10803
[4] Charles B. Morrey Jr., Multiple integral problems in the calculus of variations and related topics, Ann. Scuola Norm. Sup. Pisa (3) 14 (1960), 1 – 61. · Zbl 0094.08104
[5] Léon Van Hove, Sur l’extension de la condition de Legendre du calcul des variations aux intégrales multiples à plusieurs fonctions inconnues, Nederl. Akad. Wetensch., Proc. 50 (1947), 18 – 23=Indagationes Math. 9, 3 – 8 (1947) (French). · Zbl 0029.26802
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