A chain rule in $L^{1}\left({\operatorname\*{div};\Omega}\right)$ and its applications to lower semicontinuity

معرفی کتاب «A chain rule in $L^{1}\left({\operatorname\*{div};\Omega}\right)$ and its applications to lower semicontinuity» نوشتهٔ Virginia De Cicco; Giovanni Leoni، منتشرشده توسط نشر Springer; Springer-Verlag; Springer Verlag; Springer Science and Business Media LLC (ISSN 0944-2669). این کتاب در فرمت pdf، زبان انگلیسی ارائه شده است.

A chain rule in the space L1 (div;Ω) is obtained under weak regularity conditions.This chain rule has important applications in the study of lower semicontinuityproblems for general functionals of the form ☺Ω f(x, u,∇u) dx with respect to strong convergence in L1 (Ω) . Classical results of Serrin and of De Giorgi, Buttazzo and Dal Maso are extended and generalized.

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