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Showing 2021 · math.APShow all
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math.AP2021★ 1 cited
On existence, stability and many-particle approximation of solutions of 1D Hughes model with linear costs
Boris Andreianov, Massimiliano Rosini, Graziano Stivaletta
This paper deals with the one-dimensional formulation of Hughes model for pedestrian flows in the setting of entropy solutions, which authorizes non-classical shocks at the locatio…
math.AP2021
Measure data problems for a class of elliptic equations with mixed absorption-reaction
Marie-Francoise Bidaut-Veron, Marta Garcia-Huidobro, Laurent Veron
We study the existence of nonnegative solutions to the Dirichlet problem $\CL^{_{^M}}_{p,q}u:=-Δu+u^p-M|\nabla u|^q=μ$ in a domain $Ω\subset\BBR^N$ where is a nonnegative Radon…