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Zbl 0516.49003
Giaquinta, Mariano
Multiple integrals in the calculus of variations and nonlinear elliptic systems. (English)
[B] Annals of Mathematics Studies, 105. Princeton, New Jersey: Princeton University Press. VII, 296 p. \$ 45.50; \$ 21.50 (1983).

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MSC 2000:: *49-02 Research monographs (calculus of variations)
35-02 Research monographs (partial differential equations)
49J20 Optimal control problems with PDE (existence)
35J60 Nonlinear elliptic equations
35D10 Regularity of generalized solutions of PDE
35B45 A priori estimates
49J45 Optimal control problems inv. semicontinuity and convergence
26B05 Continuity and differentiation questions (several real variables)
26B15 Integration (several real variables)

Keywords: almost everywhere regularity; higher integrability; multiple integrals; differentiability of minimum points; regular functionals

Cited in: Zbl 1157.35023 Zbl 1157.35022 Zbl 1211.35108 Zbl 0942.49002 Zbl 0830.35045 Zbl 0751.35005 Zbl 0624.35032 Zbl 0658.35016 Zbl 0641.35023 Zbl 0632.35029 Zbl 0602.49029 Zbl 0589.73018 Zbl 0571.73006 Zbl 0588.35042 Zbl 0561.35027 Zbl 0543.35033

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