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Caccioppoli Type Inequality for Weak Solutions of A-harmonic Equation and Its Applications
Hongya Gao,Yinzhu Chen 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.3
In this paper, we use a sufficient and necessary condition of weak solutions of A-harmonic equation to obtain the Caccioppoli type inequality and reverse Hőlder inequality. As some applications of the above results, we derive the Lp-integrability, Hőlder continuity and almost everywhere differentiability for weak solutions of A-harmonic equation. The same results were given for the component functions of quasi regular mappings.
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팽봉연 ( Peng Fenglian ),진은주 ( Chen Yinzhu ) 한국비교형사법학회 2014 비교형사법연구 Vol.16 No.2
China has made due contributions to the international community punishing war crimes whether in theory or in practice. The theoretical studies focused on the connotation and denotation of war crimes, Chinese legal basis for punishing war crimes and judicial practice, body found criminally responsible for war crimes, the norms convergence between Chinese criminal law and international criminal law about punishing war crimes, the research on the historical development and future trends of international punishing war crimes and other aspects. The connotation and denotation of war crimes have the trend of expansion from the perspective of evolution. Chinese punishing war crimes legal basis include not only international criminal law treaty which China has joined or signed but also Chinese domestic criminal law. The main methods of punishing war crimes are international punishment and domestic punishment. International punishment is the supplement to domestic punishment. The practice of Chinese punishing war crimes was proceeding against Japanese war criminals in World War II. The state and individuals should take criminal responsibility for war crimes together. China put forward a legislative proposal about perfecting the link between Chinese criminal law and international criminal law in punishing war crimes. Because China has not signed the “Rome Statute”, for war crimes in Chinese domestic armed conflict, it can be only exercised jurisdiction by Chinese courts. The history of international punishing war crimes can be divided into five stages from “Versailles Treaty” to “International Criminal Court Statute”. The trend and ability was increasing of punishing war crimes through the formation of international judicial bodies. The content about individual takes responsibility for war crimes will be given priority in development. A planned genocide and acts against humanity, in wartime or peacetime, in international armed conflict or non-international armed conflict, constitute serious international crimes.
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