106 citations · 620 across the 36 of their papers we have counts for
8 papers · 2 filters
Local estimates for parabolic equations with nonlinear gradient terms
Tommaso Leonori, Francesco Petitta
In this paper we deal with local estimates for parabolic problems in with absorbing first order terms, whose model is $\{ {l} u_t- Δu +u |\nabla u|^q = f(t,x) \quad…
A generalized porous medium equation related to some singular quasilinear problems
Francesco Petitta
In this paper we study existence and nonexistence of solutions for a Dirichlet boundary value problem whose model is $$ \begin{cases} -\sum_{m=1}^{\infty} a_m Δu^m= f&\text{in}\ Ω\…
Large solutions for nonlinear parabolic equations without absorption terms
Salvador Moll, Francesco Petitta
In this paper we give a suitable notion of entropy solution of parabolic laplacian type equations with which blows up at the boundary of the domain. We prove existe…
A nonexistence result for nonlinear parabolic equations with singular measures as data
Francesco Petitta
In this paper we prove a nonexistence result for nonlinear parabolic problems with zero lower order term whose model is $$ \begin{cases} u_{t}- Δ_p u+|u|^{q-1}u=λ& \text{in}\ (0,T)…
Renormalized solutions of nonlinear parabolic equations with general measure data
Francesco Petitta
Let a bounded open set, , and let ; we prove existence of a renormalized solution for parabolic problems whose model is $$ \begin{cases} u_{…
Asymptotic behavior of solutions for linear parabolic equations with general measure data
Francesco Petitta
In this paper we deal with the asymptotic behavior as tends to infinity of solutions for linear parabolic equations whose model is $$ \begin{cases} u_{t}-Δu = μ& \text{in}\ (0,…
Large solutions for the elliptic -Laplacian with absorption
Salvador Moll, Francesco Petitta
In this paper we give a general condition on the absorption term of the 1-Laplace elliptic equation for the existence of suitable large solutions. This condition can be considered…
Some remarks on the duality method for Integro-Differential equations with measure data
Francesco Petitta
We deal with existence, uniqueness, and regularity for solutions of the boundary value problem $$ \begin{cases} {\mathcal L}^s u = μ&\quad \text{in }, u(x)=0 \quad &\text{on} \…