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math.AP2025
Trudinger's Parabolic Equation
Peter Lindqvist, Mikko Parviainen, Saara Sarsa
We study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} B…
math.MG2025
Duality for the gradient of a -harmonic function and the existence of gradient curves
Sylvester Eriksson-Bique, Saara Sarsa
Every convex optimization problem has a dual problem. The -Dirichlet problem in metric measure spaces is an optimization problem whose solutions are -harmonic functions. What…