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Singular quasilinear convective elliptic systems in
Umberto Guarnotta, Salvatore A. Marano, Abdelkrim Moussaoui
The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed poi…
Pairs of nontrivial solutions to concave-linear-convex type elliptic problems
Pasquale Candito, Salvatore A. Marano, Kanishka Perera
We obtain a pair of nontrivial solutions for a class of concave-linear-convex type elliptic problems that are either critical or subcritical. The solutions we find are neither loca…
On a singular Robin problem with convection terms
Umberto Guarnotta, Salvatore A. Marano, Dumitru Motreanu
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection…
Quantitative truncation estimates for fractional Hardy-Sobolev optimizers
S. A. Marano, S. Mosconi
The general stability problem of truncations for a family of functions concentrating mass at the origin is described and a concrete example in the framework of entire optimizers fo…
Nodal solutions to a Neumann problem for a class of (p_1,p_2)-Laplacian systems
P. Candito, S. A. Marano, A. Moussaoui
Nodal solutions of a parametric (p_1,p_2)-Laplacian system, with Neumann boundary conditions, are obtained by chiefly constructing appropriate sub-super-solution pairs.
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-…