2 papers
math.AP2023
Solutions with positive components to quasilinear parabolic systems
Evelina Shamarova
We obtain sufficient conditions for the existence and uniqueness of solutions with non-negative components to general quasilinear parabolic problems \begin{equation*} \partial_t u^…
math.AP2022
Existence, multiplicity and classification results for solutions to -Hessian equations with general weights
João Marcos do Ó, Justino Sánchez, Evelina Shamarova
The aim of this paper is to study negative classical solutions to a -Hessian equation involving a nonlinearity with a general weight \begin{equation} \label{Eq:Ma:0} \tag{} \…