37 citations · 37 across the 5 of their papers we have counts for
5 papers
Existence, non-existence and degeneracy of limit solutions to -Laplace problems involving Hardy potentials as . The case of a critical drift
Juan Carlos Ortiz Chata, Francesco Petitta
In this paper we analyze the asymptotic behaviour as of solutions to $$ \left\{ \begin{array}{rclr} -Δ_pu&=&λ|\nabla u|^{p-2}\nabla u\cdot\frac{x}{|x|^2}+ f&\quad…
A generalized porous medium equation related to some singular quasilinear problems
Francesco Petitta
In this paper we study existence and nonexistence of solutions for a Dirichlet boundary value problem whose model is $$ \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 $$ \begin{cases} u_{t}- Δ_p u+|u|^{q-1}u=λ& \text{in}\ (0,T)…
Asymptotic behavior of solutions for linear parabolic equations with general measure data
Francesco Petitta
In this paper we deal with the asymptotic behavior as tends to infinity of solutions for linear parabolic equations whose model is $$ \begin{cases} u_{t}-Δu = μ& \text{in}\ (0,…