14 citations · 21 across the 5 of their papers we have counts for
7 papers
Stein-Weiss inequality in norm for vector fields
Pablo De Nápoli, Tiago Picon
In this work, we investigate the limit case of the classical Stein--Weiss inequality for the Riesz potential.We present a characterization for a special class of vector field…
An Identity involving the Cyclotomic Polynomials
Pablo L. De Nápoli
We present an elementary identity for the cyclotomic polynomials which reflects a kind of multiplicative property of as a function of , and we explore its conn…
A Pólya-Szegö principle for general fractional Orlicz-Sobolev spaces
Pablo de Nápoli, Julián Fernández Bonder, Ariel Salort
In this article we prove modular and norm Pólya-Szegö inequalities in general fractional Orlicz-Sobolev spaces by using the polarization technique. We introduce a general framework…
Symmetry breaking for an elliptic equation involving the Fractional Laplacian
Pablo L. De Nápoli
We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma inv…
Lyapunov-type Inequalities for Partial Differential Equations
Pablo L. De Nápoli, Juan P. Pinasco
In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in dimensional domains . We also consider singular and degenerate el…
Multiple solutions for the laplace operator with critical growth
Analía Silva
The aim of this paper is to extend previous results regarding the multiplicity of solutions for quasilinear elliptic problems with critical growth to the variable exponent case. We…
Multiple solutions for the laplace operator with critical growth
Pablo L. De Nápoli, Julián Fernández Bonder, Analía Silva
In this note we show the existence of at least three nontrivial solutions to the following quasilinear elliptic equation in a smooth bounded domai…