Francescantonio Oliva

activity

20182024

collaborators

3 papers

math.AP2019

A nonlinear parabolic problem with singular terms and nonregular data

Francescantonio Oliva, Francesco Petitta

We study existence of nonnegative solutions to a nonlinear parabolic boundary value problem with a general singular lower order term and a nonnegative measure as nonhomogeneous dat…

math.AP2018

Radial symmetry for a quasilinear elliptic equation with a critical Sobolev growth and Hardy potential

Francescantonio Oliva, Berardino Sciunzi, Giusi Vaira

We consider weak positive solutions to the critical $p$ -Laplace equation with Hardy potential in $R^{N}$ $- Δ_{p} u - \frac{γ}{∣ x ∣ ^{p}} u^{p - 1} = u^{p^{*} - 1}$ where $1 < p < N$ , $0\le γ<\l…

math.AP2018

Regularizing effect of absorption terms in singular problems

Francescantonio Oliva

We prove existence of solutions to problems whose model is $$\begin{cases} \displaystyle -Δ_p u + u^q = \frac{f}{u^γ} & \text{in}\ Ω, \newline u\ge0 &\text{in}\ Ω,\newline u=0 &\te…