arXiv subjects

B. Sciunzi

Publications and source records attributed to B. Sciunzi.

2 recordsLinked to original sources

arXiv2022

Existence and regularity for a general class of quasilinear elliptic problems involving the Hardy potential

In a very general quasilinear setting, we show that the regularizing effect of a first order term causes the existence of energy solutions for problems involving the Hardy potential and $L^1$ data. In the same setting we study sharp (local and global) integral estimates for the second derivatives of the solutions.

math.AP↗

arXiv2013

Symmetry of solutions of some semilinear elliptic equations with singular nonlinearities

We consider positive solutions to a singular semilinear elliptic equation in bounded smooth domains, with zero Dirichlet boundary conditions. We provide some weak and strong maximum principles for the H^1_0 part of the solution that allow to deduce symmetry and monotonicity properties of the solutions, via the Moving Plane Method.

math.AP↗