arXiv subjects

L. Montoro

Publications and source records attributed to L. Montoro.

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↗

arXiv2018

Neumann conditions for the higher order $s$-fractional Laplacian $(-Δ)^su$ with $s>1$

In this paper we study a variational Neumann problem for the higher order $s$-fractional Laplacian, with $s>1$. In the process, we introduce some non-local Neumann boundary conditions that appear in a natural way from a Gauss-like integration formula.

math.AP↗