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A note on the Hölder continuity of solutions of variational problems. (English) Zbl 0316.49008

MSC:
49J45 Methods involving semicontinuity and convergence; relaxation
49J20 Existence theories for optimal control problems involving partial differential equations
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[1] E. Giusti andM. Miranda, Un esempio di soluzioni discontinue per un problema di minime relative ad un integrale regolare del calcolo delle variazioni. Boll. Un. Mat. Ital.2 (1968). · Zbl 0155.44501
[2] O. A. Ladyženskaya andN. N. Ural’tseva, Linear and quasilinear elliptic equations. New York-London: Academic Press 1968.
[3] C. B. Morrey, Jr., Multiple integral problems in the calculus of variations and related topics. University of California Press. Berkeley-Los Angeles 1943. · Zbl 0063.04107
[4] C. B. Morrey, Jr., Multiple Integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0142.38701
[5] G. Stampacchia, Equazioni differenziali ellittiche del secondo ordine. Appunti del corso di analisi superiore. Università di Pisa. Anno Accademico 1963–1964.
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