Matheus F. Stapenhorst

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math.AP2025

Existence and non-existence phenomena for nonlinear elliptic equations with $L^{1}$ data and singular reactions

Francescantonio Oliva, Francesco Petitta, Matheus F. Stapenhorst

We study existence and non-existence of solutions for singular elliptic boundary value problems as \begin{equation}\label{eintro}\begin{cases}\tag{1} \displaystyle -Δ_p u+ \frac{a(…

math.AP2024

Existence and regularity of solutions for the elliptic nonlinear transparent media equation

Francesco Balducci, Francescantonio Oliva, Francesco Petitta +1

In this paper we study existence and regularity of solutions to Dirichlet problems as $$ \begin{cases} - {\rm div}\left(|u|^m\frac{D u}{|D u|}\right) = f & \text{in}\;Ω,\\ \newline…

Existence and non-existence phenomena for nonlinear elliptic equations with L1 data and singular reactions

Existence and regularity of solutions for the elliptic nonlinear transparent media equation

Existence and non-existence phenomena for nonlinear elliptic equations with $L^{1}$ data and singular reactions