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20172022
most citedPositive Definite Functions on Complex Spheres and their Walks through Dimensions

11 citations · 30 across the 5 of their papers we have counts for

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5 papers

math.AP2022

A nonsmooth variational approach to semipositone quasilinear problems in

Jefferson Abrantes Santos, Claudianor O. Alves, Eugenio Massa

This paper concerns the existence of a solution for the following class of semipositone quasilinear problems \begin{equation*} \left \{ \begin{array}{rclcl} -Δ_p u = h(x)(f(u)-a),\…

math.AP2019★ 9 cited

Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems

Leonelo Iturriaga, Eugenio Massa

In this paper we study the geometry of certain functionals associated to quasilinear elliptic boundary value problems with a degenerate nonlocal term of Kirchhoff type. Due to the…

math.CA2018★ 2 cited

Characterization of Strict Positive Definiteness on products of complex spheres

Mario H. Castro, Eugenio Massa, Ana Paula Peron

In this paper we consider Positive Definite functions on products of complex spheres, and we obtain a condition, in terms of the coefficients in their disc pol…

math.AP2017★ 8 cited

On necessary conditions for the Comparison Principle and the Sub and Supersolutions Method for the stationary Kirchhoff Equation

Leonelo Iturriaga, Eugenio Massa

In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Eq…

math.CA2017★ 11 cited

Positive Definite Functions on Complex Spheres and their Walks through Dimensions

Eugenio Massa, Ana Paula Peron, Emilio Porcu

We provide walks through dimensions for isotropic positive definite functions defined over complex spheres. We show that the analogues of Montée and Descente operators as proposed…