46 citations · 83 across the 11 of their papers we have counts for
7 papers · 1 filter
On a Perturbed Critical p-Kirchhoff-Type Problem
G. N. Cunha, F. Faraci, K. Silva
In this paper we deal with a stationary non-degenerate Kirchhoff type problem with critical non-linearity and a subcritical parametrized perturbation. We work on bounded domain…
On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension
F. Faraci, K. Silva
The present paper deals with a parametrized Kirchhoff type problem involving a critical nonlinearity in high dimension. Existence, non existence and multiplicity of solutions are o…
On a critical Kirchhoff-type problem
Francesca Faraci, Csaba Farkas
In the present paper, we study a Kirchhoff type problem involving the critical Sobolev exponent. We give sufficient conditions for the sequentially weakly lower semicontinuity and…
On an open question of Ricceri concerning a Kirchhoff-type problem
Francesca Faraci, Csaba Farkas
In the present note we prove a multiplicity result for a Kirchhoff type problem involving a critical term, giving a partial positive answer to a problem raised by Ricceri.
Energy properties of critical Kirchhoff problems with applications
Francesca Faraci, Csaba Farkas, Alexandru Kristály
In this paper we fully characterize the sequentially weakly lower semicontinuity of the parameter-depending energy functional associated with the critical Kirchhoff problem. We als…
A characterization related to Schrödinger equations on Riemannian manifolds
Francesca Faraci, Csaba Farkas
In this paper we consider the following problem $$\begin{cases} -Δ_{g}u+V(x)u=λα(x)f(u), & \mbox{in }M\\ u\geq0, & \mbox{in }M\\ u\to0, & \mbox{as }d_{g}(x_{0},x)\to\infty \end{cas…
Multipolar Hardy inequalities on Riemannian manifolds
Francesca Faraci, Csaba Farkas, Alexandru Kristály
We prove multipolar Hardy inequalities on complete Riemannian manifolds, providing various curved counterparts of some Euclidean multipolar inequalities due to Cazacu and Zuazua [I…