A Complete Study of the Lack of Compactness and Existence Results of a Fractional Nirenberg Equation via a Flatness Hypothesis. Part II
DOI:
https://doi.org/10.15407/mag18.01.003Анотація
Ця стаття є продовженням досліджень статті [2], де вивчалась задача $\sigma$-кривини на стандартній сфері за умови, що порядок сплощення даної функції у критичних точках належить $(1, n-2\sigma]$. Наведено повний опис відсутності компактності задачі, коли порядок сплощення змінюється в $(1, n)$, і доведено теорему існування на основі формули типу Ейлера-Хопфа. Як наслідок, ми узагальнюємо результати робіт [2, 17, 18] та одержуємо новий.Mathematics Subject Classification: 35A15, 35J60, 58E30
Ключові слова:
конформна геометрія, часткова кривина, варіаційне обчислення, критичні точки на нескінченностіПосилання
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