Absence of nonnegative solutions to the system of differential inequalities on manifolds
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
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15 صفحه اولOn the Uniqueness of Nonnegative Solutions of Differential Inequalities with Gradient Terms on Riemannian Manifolds
We investigate the uniqueness of nonnegative solutions to the following differential inequality div(A(x)|∇u|∇u) + V (x)u1 |∇u|2 ≤ 0, (1) on a noncompact complete Riemannian manifold, where A, V are positive measurable functions, m > 1, and σ1, σ2 ≥ 0 are parameters such that σ1 + σ2 > m− 1. Our purpose is to establish the uniqueness of nonnegative solution to (1) via very natural geometric assu...
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چکیده ندارد.
15 صفحه اولUniqueness Result for Nonnegative Solutions of a Large Class of Inequalities on Riemannian Manifolds
We consider a large class of differential inequalities on complete connected Riemannian manifolds, and provide a sufficient condition in terms of volume growth for the uniqueness of nonnegative solutions to the differential inequalities.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2017
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2017.01.057