1 citations · 1 across the 7 of their papers we have counts for
7 papers
Bifurcation-type results for the fractional p-Laplacian with parametric nonlinear reaction
Silvia Frassu, Antonio Iannizzotto
We study a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction, which depends on a positive parameter. The reaction is assumed to b…
Five solutions for the fractional p-Laplacian with noncoercive energy
Silvia Frassu, Antonio Iannizzotto
We deal with a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction which satisfies, among other hypotheses, a (p-1)-linear growth a…
Multiple solutions for the fractional p-Laplacian with jumping reactions
Silvia Frassu, Antonio Iannizzotto
We study a nonlinear elliptic equation driven by the degenerate fractional p-Laplacian, with Dirichlet type condition and a jumping reaction, i.e., (p-1)-linear both at infinity an…
Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth
Silvia Frassu, Antonio Iannizzotto
We study a Dirichlet type problem for an equation involving the fractional Laplacian and a reaction term subject to either subcritical or critical growth conditions, depending on a…
Extremal constant sign solutions and nodal solutions for the fractional p-Laplacian
Silvia Frassu, Antonio Iannizzotto
We study a pseudo-differential equation driven by the degenerate fractional p-Laplacian, under Dirichlet type conditions in a smooth domain. First we show that the solution set wit…
Strict monotonicity and unique continuation for general non-local eigenvalue problems
Silvia Frassu, Antonio Iannizzotto
We consider the weighted eigenvalue problem for a general non-local pseudo-differential operator, depending on a bounded weight function. For such problem, we prove that strict (de…
Nonlinear Dirichlet problem for the nonlocal anisotropic operator
Silvia Frassu
In this paper we study an equation driven by a nonlocal anisotropic operator with homogeneous Dirichlet boundary conditions. We find at least three non trivial solutions: one posit…