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The book contains two contributions about the work of Emmanuele DiBenedetto and a selection of original papers. The authors are some of the main experts in Harnack's inequalities and nonlinear operators. These papers are part of the contributions presented during the conference to celebrate the 70th birthday of Prof. Emmanuele DiBenedetto, which was held at "Il Palazzone" in Cortona from June 18th to 24th, 2017. The papers are focused on current research topics regarding the qualitative properties of solutions, connections with calculus of variations, Harnack inequality and regularity theory. Some papers are also related to various applications. Many of the authors have shared with Prof. DiBenedetto an intense scientific and personal collaboration, while many others have taken inspiration from and further developed his field of research. The topics of the conference are certainly of great interest for the international mathematical community.
This book examines the history of translation under European communism, bringing together studies on the Soviet Union, including Russia and Ukraine, Yugoslavia, Hungary, East Germany, Czechoslovakia, Bulgaria, and Poland. In any totalitarian regime maintaining control over cultural exchange is strategically important, so studying these regimes from the perspective of translation can provide a unique insight into their history and into the nature of their power. This book is intended as a sister volume to Translation Under Fascism (Palgrave Macmillan, 2010) and adopts a similar approach of using translation as a lens through which to examine history. With a strong interdisciplinary focus, it will appeal to students and scholars of translation studies, translation history, censorship, translation and ideology, and public policy, as well as cultural and literary historians of Eastern Europe, Soviet communism, and the Cold War period.
This book examines the history of translation under European communism, bringing together studies on the Soviet Union, including Russia and Ukraine, Yugoslavia, Hungary, East Germany, Czechoslovakia, Bulgaria, and Poland. In any totalitarian regime maintaining control over cultural exchange is strategically important, so studying these regimes from the perspective of translation can provide a unique insight into their history and into the nature of their power. This book is intended as a sister volume to Translation Under Fascism (Palgrave Macmillan, 2010) and adopts a similar approach of using translation as a lens through which to examine history. With a strong interdisciplinary focus, it will appeal to students and scholars of translation studies, translation history, censorship, translation and ideology, and public policy, as well as cultural and literary historians of Eastern Europe, Soviet communism, and the Cold War period.
We study maximum principles for a class of linear, degenerate elliptic differential operators of the second order. The Weak and Strong Maximum Principles are shown to hold for this class of operators in bounded domains, as well as a Hopf type lemma, under suitable hypotheses on the principal part and on the degeneracy set of the operator. We prove a Poincare inequality, which then allows to define the functional setting where to study weak solutions for equations and inequalities involving this class of operators. A good example of such an operator is the Grushin operator, to which we devote particular attention. As an application of these tools in the degenerate elliptic setting, we prove a partial symmetry result for classical solutions of semilinear problems on bounded, symmetric and suitably convex domains and a nonexistence result for classical solutions of semilinear equations with subcritical growth defined on the whole space. We use here the method of moving planes, implemented just in the directions parallel to the degeneracy set of the Grushin operator.
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