Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

DOI10.1515/9781400881628zbMath0516.49003OpenAlexW2497367977MaRDI QIDQ3663912

Mariano Giaquinta

Publication date: 1983

Full work available at URL: https://doi.org/10.1515/9781400881628

zbMATH Keywords

multiple integralshigher integrabilityregular functionalsalmost everywhere regularitydifferentiability of minimum points

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods involving semicontinuity and convergence; relaxation (49J45) A priori estimates in context of PDEs (35B45) Integration of real functions of several variables: length, area, volume (26B15) Existence theories for optimal control problems involving partial differential equations (49J20) Continuity and differentiation questions (26B05) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)