2 papers
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{…
math.AP2024
Quasi-linear elliptic equations with superlinear convection
Genival da Silva
We discuss the existence and regularity of solutions to a quasi-linear elliptic equation involving a Leray-Lions operator and a convection term with superlinear growth. In particul…