3 papers
math.AP2026
Conservation of mass for solutions of Leibenson's equation on Riemannian Manifolds
Philipp Sürig
We consider on a Riemannian manifold the Leibenson equation \begin{equation*}\label{eqabs}\partial _{t}u=Δ_{p}u^{q},\end{equation*} where and . When ,…
math.AP2026
Relative Faber--Krahn inequalities and Trudinger's equation on Riemannian Manifolds
Philipp Sürig
We consider on Riemannian manifolds the Trudinger equation \begin{equation*}\partial _{t}u=Δ_{p}u^{\frac{1}{p-1}},\end{equation*} where . We prove that a relative --Faber--…
math.AP2023
Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds
Philipp Sürig
We consider on Riemannian manifolds the nonlinear evolution equation \begin{equation*} \partial _{t}u=Δ_{p}(u^{1/(p-1)}), \end{equation*}% where . This equation is also known…