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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).

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
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