11 papers
Optimal insulation and concentration breaking for nonlinear Robin boundary value problems
Francesco Della Pietra, Francescantonio Oliva
We consider an optimal insulation problem for a bounded domain in driven by the -Laplace operator (). We model the convective heat transfer between the body…
Existence and uniqueness of weak solutions to singular anisotropic elliptic problems
Francesco Esposito, Francescantonio Oliva, Eugenio Vecchi
In this paper we consider a quasilinear singular anisotropic elliptic problem with a p-sublinear perturbation. We prove uniqueness of weak solutions and we provide necessary and su…
Existence and non-existence phenomena for nonlinear elliptic equations with 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 -Î_p u+ \frac{a…
Optimal global regularity for 1-Laplace type BVP's with singular lower order terms
Antonio J. MartÃnez Aparicio, Francescantonio Oliva, Francesco Petitta
In this paper we provide a complete characterization of the regularity properties of the solutions associated to the homogeneous Dirichlet problem \begin{equation*} \begin{cases} \…
Global existence for a Leibenson type equation with reaction on Riemannian manifolds
Giulia Meglioli, Francescantonio Oliva, Francesco Petitta
We show a global existence result for a doubly nonlinear porous medium type equation of the form on a complete and non-compact Riemannian manifold of…
The Sattinger iteration method for 1-Laplace type problems and its application to concave-convex nonlinearities
Antonio J. MartÃnez Aparicio, Francescantonio Oliva, Francesco Petitta
In this paper we extend the classical sub-supersolution Sattinger iteration method to -Laplace type boundary value problems of the form \begin{equation*} \begin{cases} \displays…