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Уважаемые авторы, просим обратить внимание! Подача статьи осуществляется только через личный кабинет электронной редакции. DOI: 10.23671/VNC.2014.3.10232 Решения дифференциального неравенства с нуль-лагранжианом: повышающаяся интегрируемость и устранимость особенностей. I
Егоров А. А.
Владикавказский математический журнал. 2014. Том 16. Выпуск 3.С.22-37.
Аннотация:
Целью настоящей статьи является установление свойства самоулучшающейся интегрируемости производных решений дифференциального неравенства с нуль-лагранжианом. Более точно, мы доказываем, что решение класса Соболева с показателем суммирумости, немного меньшим естественно определенного структурными предположениями на нуль-лагранжиан показателя, фактически принадлежит пространству Соболева с показателем суммируемости, немного большим естественного показателя. Мы также применяем это свойство, чтобы улучшить теоремы о гёльдеровой регулярности и об устойчивости из статьи [19].
Ключевые слова: нуль-лагранжиан, повышающаяся интегрирумость, самоулучшающаяся регулярность, г\"ельдерова регулярность, устойчивость классов отображений
Язык статьи: Английский
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Образец цитирования: Егоров А. А. Решения дифференциального неравенства с нуль-лагранжианом: повышающаяся интегрируемость и устранимость особенностей. I // Владикавк. мат. журн. 2014. Том 16. Выпуск 3. С.22-37. DOI 10.23671/VNC.2014.3.10232
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