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math.AP2024
An elliptic equation with power nonlinearity and degenerate coercivity
Genival da Silva
We discuss the existence and regularity of solutions to the following Dirichlet problem: $$\begin{equation} \begin{cases} -\textrm{div}\left(\frac{Du}{(1+|u|)^θ}\right)= -\textrm{d…
math.AP2022
Notes on continuous weak solutions to the ideal Hall equation
Genival da Silva
Using convex integration, we construct continuous weak solutions to the ideal Hall equation with a given energy profile. This is a first step in the direction of proving the Onsage…