Giaquinta, Mariano Multiple integrals in the calculus of variations and nonlinear elliptic systems. (English) Zbl 0516.49003 Annals of Mathematics Studies, 105. Princeton, New Jersey: Princeton University Press. VII, 296 p. $ 45.50; $ 21.50 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 19 ReviewsCited in 1154 Documents MSC: 49-02 Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 49J20 Existence theories for optimal control problems involving partial differential equations 35J60 Nonlinear elliptic equations 35D10 Regularity of generalized solutions of PDE (MSC2000) 35B45 A priori estimates in context of PDEs 49J45 Methods involving semicontinuity and convergence; relaxation 26B05 Continuity and differentiation questions 26B15 Integration of real functions of several variables: length, area, volume Keywords:almost everywhere regularity; higher integrability; multiple integrals; differentiability of minimum points; regular functionals × Cite Format Result Cite Review PDF Full Text: DOI