Sharp condition for the Liouville property in a class of nonlinear elliptic inequalities
نویسندگان
چکیده
We study a class of elliptic inequalities which arise in the blow-up rate estimates for parabolic problems, and obtain sharp existence/nonexistence result. Namely, any $p\ge 1$, we show that inequality $\Delta u+ u^p \leq \varepsilon $
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2021
ISSN: ['0010-1354', '1730-6302']
DOI: https://doi.org/10.4064/cm8147-1-2020