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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…
An inhomogeneous p-laplacian equation with a Hardy potential
Genival da Silva
In this work we study the existence and regularity of solutions to the following equation: where and , wh…
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…
On a fully nonlinear k-Hessian system of Lane-Emden type
Genival da Silva
In this manuscript we prove the existence of solutions to a fully nonlinear system of (degenerate) elliptic equations of Lane-Emden type and discuss a inhomogeneous generalization.
Radially symmetric solutions to a Lane-Emden type system
Genival da Silva
The existence of radially symmetric solutions is discussed for a Lane-Emden type system. This answer a question posed by da Silva and do O (2024). We also comment on the inhomogene…