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Tuesday, May 4, 2021 - 10:15 in ZOOM - Video Conference


An almost sharp Liouville principle for $\Delta_m u+u^p|\nabla u|^q\leq0$ on geodesically complete noncompact Riemannian manifolds

A talk in the Geometric Analysis Seminar series by

Abstract: We establish an almost sharp Liouville principle for the weak solutions to the aforementioned differential inequality on geodesically complete noncompact Riemannian manifolds for the following range of parameters: $m > 1$ while $p$ and $q$ are arbitrary real. The results is entirely new for negative $p$ and $q,$ even in the Euclidean spaces.



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