A Reilly Type Integral Formula Associated with Diffusion-Type Operators and Its Applications
DOI:
https://doi.org/10.15407/mag20.02.250Анотація
У цій статті ми виводимо формулу типу Рейлі для оператора дифузійного типу $\mathcal{L}\cdot=\frac{1}{B}\textrm{div}(A\nabla\cdot)$ на зважених многовидах із межею, де $A$ і $B$ - дві додатні гладкі функції на многовидах. В якості її застосування наведено деякі нерівності типу Пуанкаре, Колесанті, Мінковського та Хайнце-Карчера.
Mathematical Subject Classification 2020: 53C21, 58J32
Ключові слова:
формула типу Рейлi, оператор дифузiйного типу, m-модифiкована кривина Рiччi, A-середня кривинаПосилання
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