33 citations · 74 across the 18 of their papers we have counts for
24 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…