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On a Dirichlet problem with -Laplacian and parametric concave-convex nonlinearity
Salvatore A. Marano, Greta Marino, Nikolaos S. Papageorgiou
A homogeneous Dirichlet problem with -Laplace differential operator and reaction given by a parametric -convex term plus a -concave one is investigated. A bifurcation-…
Singular quasilinear elliptic systems in
S. A. Marano, G. Marino, A. Moussaoui
The existence of positive weak solutions to a singular quasilinear elliptic system in the whole space is established via suitable a priori estimates and Schauder's fixed point theo…
Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction
U. Guarnotta, S. A. Marano, N. S. Papageorgiou
A Robin boundary-value problem with non-homogeneous differential operator, indefinite potential, and reaction defined only near zero is investigated. The existence of one or more n…