64 citations · 435 across the 39 of their papers we have counts for
46 papers
A sharp eigenvalue theorem for mixed elliptic problems under mixed boundary conditions
Giovanni Molica Bisci, Lovelesh Sharma
In this paper, we study a class of eigenvalue problems involving both local and nonlocal operators, namely the classical Laplacian and the fractional Laplacian, under mixed boundar…
Asymptotically linear fractional problems with mixed boundary conditions
Giovanni Molica Bisci, Alejandro Ortega, Luca Vilasi
We derive the existence of solutions for an asymptotically linear equation driven by the spectral fractional Laplacian operator with mixed Dirichlet-Neumann boundary conditions. Wh…
Regularizing effect of the interplay between coefficients in linear and semilinear -elliptic equations
Paolo Malanchini, Giovanni Molica Bisci, Simone Secchi
We study the regularizing effect arising from the interaction between the coefficient \(a\) of the zero order term and the datum \(f\) in the problem $$ \left\lbrace \begin{array}{…
Nonlocal critical problems with mixed boundary conditions and nearly resonant perturbations
Eduardo Colorado, Giovanni Monica Bisci, Alejandro Ortega +1
We consider the following nonlocal critical problem with mixed Dirichlet-Neumann boundary conditions, \begin{equation} \left\{ \begin{array}{ll} (-Δ)^su=λu+|u|^{2_s^*-2}u &\text{in…
Asymptotically linear magnetic fractional problems
Rossella Bartolo, Pietro d'Avenia, Giovanni Molica Bisci
The aim of this paper is investigating the existence and multiplicity of weak solutions to non--local equations involving the {\em magnetic fractional Laplacian}, when the nonlinea…
Nonlocal critical growth elliptic problems with jumping nonlinearities
Giovanni Molica Bisci, Kanishka Perera, Raffaella Servadei +1
In this paper we study a nonlocal critical growth elliptic problem driven by the fractional Laplacian in presence of jumping nonlinearities. In the main results of the paper we pro…
New minimax theorems for lower semicontinuous functions and applications
Claudianor O Alves, Giovanni Molica Bisci, Ismael S. da Silva
In this paper we prove a version of the Fountain Theorem for a class of nonsmooth functionals that are sum of a functional and a convex lower semicontinuous functional, and a…
On nonlocal Dirichlet problems with oscillating term
Boštjan Gabrovšek, Giovanni Molica Bisci, Dušan D. Repovš
In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. M…
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…
Elliptic problems on weighted locally finite graphs
Maurizio Imbesi, Giovanni Molica Bisci, Dušan D. Repovš
Let be a weighted locally finite graph whose finite measure has a positive lower bound. Motivated by wide interest in the current literature, in this paper…
A note on the NLS equation on Cartan-Hadamard manifolds with unbounded and vanishing potentials
Luigi Appolloni, Giovanni Molica Bisci, Simone Secchi
We study the semilinear equation on a Cartan-Hadamard manifold of dimension , and we prove the existence of a nontrivial solution unde…
Schrödinger equation on Cartan-Hadamard manifolds with oscillating nonlinearities
Luigi Appolloni, Giovanni Molica Bisci, Simone Secchi
We study the equation on a -dimensional homogeneous Cartan-Hadamard Manifold with . Without using the theory of topological indices…
Coideals as remainders of groups distinguishing between combinatorial covering properties
Giovanni Molica Bisci, Dušan Repovš, Lyubomyr Zdomskyy
In this paper we construct consistent examples of subgroups of with Menger remainders which fail to have other stronger combinatorial covering properties. This answers severa…
Multiple solutions for Schrödinger equations on Riemannian manifolds via -theorems
Luigi Appolloni, Giovanni Molica Bisci, Simone Secchi
We consider a smooth, complete and non-compact Riemannian manifold of dimension , and we look for positive solutions to the semilinear elliptic equation…
On Critical Kirchhoff problems driven by the fractional Laplacian
Luigi Appolloni, Giovanni Molica Bisci, Simone Secchi
We study a nonlocal parametric problem driven by the fractional Laplacian operator combined with a Kirchhoff-type coefficient and involving a critical nonlinearity term in the sens…
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…
Gradient-type systems on unbounded domains of the Heisenberg group
Giovanni Molica Bisci, Dušan D. Repovš
The purpose of this paper is to study the existence of weak solutions for some classes of one-parameter subelliptic gradient-type systems involving a Sobolev-Hardy potential define…
Some hemivariational inequalities in the Euclidean space
Giovanni Molica Bisci, Dušan D. Repovš
The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space (). These hemivari…
Existence of solutions for a class of fractional elliptic problems on exterior domains
Claudianor O. Alves, Giovanni Molica Bisci, Cesar E. Torres Ledesma
This work concerns with the existence of solutions for the following class of nonlocal elliptic problems \begin{equation*}\label{00} \left\{ \begin{array}{l} (-Δ)^{s}u + u = |u|^{p…
Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature
Giovanni Molica Bisci, Simone Secchi
In this paper we discuss the existence and non--existence of weak solutions to parametric equations involving the Laplace-Beltrami operator in a complete non-compact --dim…
Nonlinear elliptic equations on Carnot groups
Massimiliano Ferrara, Giovanni Molica Bisci, Dušan Repovš
This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity (for the critical case we ref…
Nonlinear problems on the Sierpiński gasket
Giovanni Molica Bisci, Dušan D. Repovš, Raffaella Servadei
This paper concerns with a class of elliptic equations on fractal domains depending on a real parameter. Our approach is based on variational methods. More precisely, the existence…
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…
Yamabe-type equations on Carnot groups
Giovanni Molica Bisci, Dušan D. Repovš
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of o…