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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
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…