106 citations · 620 across the 36 of their papers we have counts for
4 papers · 1 filter
Existence of solutions for degenerate parabolic equations with singular terms
Andrea Dall'Aglio, Luigi Orsina, Francesco Petitta
In this paper we deal with parabolic problems whose simplest model is $$ \begin{cases} u'- Δ_{p} u + B\frac{|\nabla u|^p}{u} = 0 & \text{in} (0,T) \times Ω,\newline u(0,x)= u_0 (x)…
On the notion of renormalized solution to nonlinear parabolic equations with general measure data
Francesco Petitta, Alessio Porretta
Here we introduce a new notion of renormalized solution to nonlinear parabolic problems with general measure data whose model is $$ \begin{cases} u_t-Δ_{p} u =μ& \text{in}\ (0,T)\t…
A Lazer-McKenna type problem with measures
Luigi Orsina, Francesco Petitta
In this paper we are concerned with a general singular Dirichlet boundary value problem whose model is the following $$ \begin{cases} -Δu = \fracμ{u^γ} & \text{in}\ Ω, u=0 &\text{o…
On singular elliptic equations with measure sources
Francescantonio Oliva, Francesco Petitta
We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is $$\begin{cases} -Δu = \frac{f(x)}{u^γ} +μ& \text{in}\…