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This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak–Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.
Although the techniques of classical ballets were invented by French and Italian masters two hundred years ago, the Russian Ballet refined these techniques, thus enhancing its already superb performances. This book uncovers the Great History of Russian Ballet, its art and choreography.
Tematem książki jest problematyka praw noachickich w pierwszym kodeksie żydowskiego prawa religijnego, Miszne Tora, słynnego halachisty i filozofa Mojżesza Majmonidesa. Prawa te stanowią – według Tory ustnej – nadany przez Boga kodeks etyczny przeznaczony dla całej ludzkości. Zdaniem autora pracy to uniwersalistyczne i mesjanistyczne założenia Miszne Tora skłoniły Majmonidesa do zawarcia w swoim kodeksie – co odróżnia go od innych kodyfikatorów – także regulacji przeznaczonych dla nie-Żydów w czasach, gdy przestrzeganie tych przykazań stanie się kwestią bieżącą. Ustanowienie Tory ustnej głównym nośnikiem tradycji praw noachickich prowadzi do uznania wagi w...
As the Changels community attempts to close down the mystery of the Renwick fire and resettle back on Earth their enemies move quickly to destroy them. Only when the Changels discover their enemies are planning to release a deadly influenza epidemic does it become clear flight is not an option. Everyone, even detective Sue Williams, must commit everything to prevent a massive plague. But that means a fight some may not survive.
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