4 citations · 8 across the 6 of their papers we have counts for
7 papers
Existence of solutions to four-dimensional Kirchhoff problems with critical-concave nonlinearities
Giovanni Anello, Luca Vilasi
We deal with a Kirchhoff problem on a smooth bounded domain of with competing critical and concave terms. By using new approximation techniques and the Nehari manifo…
Positive solutions for a weighted critical problem with mixed boundary conditions
Alejandro Ortega, Luca Vilasi, Youjun Wang
We analyze the existence and multiplicity of positive solutions to a nonlocal elliptic problem involving the spectral fractional Laplace operator endowed with homogeneous mixed Dir…
Positive solutions for a Kirchhoff problem of Brezis-Nirenberg type in dimension four
Giovanni Anello, Luca Vilasi
We consider a Kirchhoff problem of Brezis-Nirenberg type in a smooth bounded domain of with Dirichlet boundary conditions. Our approach, novel in this framework and…
Subcritical nonlocal problems with mixed boundary conditions
Giovanni Molica Bisci, Alejandro Ortega, Luca Vilasi
In this paper, by variational and topological arguments based on linking and -theorems, we prove the existence of multiple solutions for the following nonlocal problem with…
Existence results for some problems on Riemannian manifolds
Giovanni Molica Bisci, Luca Vilasi, Dušan D. Repovš
By using variational techniques we provide new existence results for Yamabe-type equations with subcritical perturbations set on a compact -dimensional () Riemannian ma…
Multiple solutions of nonlinear equations involving the square root of the Laplacian
Giovanni Molica Bisci, Dušan D. Repovš, Luca Vilasi
In this paper we examine the existence of multiple solutions of parametric fractional equations involving the square root of the Laplacian in a smooth bounded domain $Ω\s…
Existence Results for a critical fractional equation
Hichem Hajaiej, Giovanni Molica Bisci, Luca Vilasi
We are concerned with existence results for a critical problem of Brezis-Nirenberg Type involving an integro-differential operator. Our study includes the fractional Laplacian. Our…