106 citations · 194 across the 14 of their papers we have counts for
16 papers
Quasilinear elliptic equations with singular quadratic growth terms
Lucio Boccardo, Tommaso Leonori, Luigi Orsina +1
In this paper we deal with positive solutions for singular quasilinear problems whose model is $$ \begin{cases} -Δu + \frac{|\nabla u|^2}{(1-u)^γ}=g & \mbox{in ,}\newline \hfill…
Existence and nonexistence of solutions for singular quadratic quasilinear equations
David Arcoya, José Carmona, Tommaso Leonori +3
We study both existence and nonexistence of nonnegative solutions for nonlinear elliptic problems with singular lower order terms that have natural growth with respect to the gradi…
An Agmon-Allegretto-Piepenbrink principle for Schroedinger operators
Stefano Buccheri, Luigi Orsina, Augusto C. Ponce
We prove that each Borel function defined on an open subset induces a decomposition such that…
On the nonexistence of Green's function and failure of the strong maximum principle
Luigi Orsina, Augusto C. Ponce
Given any Borel function on a smooth bounded domain , we establish that the strong maximum principle for the Schrödinger operator $…
Hopf potentials for the Schrödinger operator
Luigi Orsina, Augusto C. Ponce
We establish the Hopf boundary point lemma for the Schrödinger operator involving potentials that merely belong to the space . More precisely, we prove…
The role of interplay between coefficients in the -convergence of some elliptic equations
Lucio Boccardo, Luigi Orsina, Augusto C. Ponce
We study the behavior of the solutions of the linear Dirichlet problems with respect to perturbations of the matrix (wit…