11 citations · 30 across the 5 of their papers we have counts for
3 papers · 1 filter
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),\…
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…
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…